Journal ArticleJournal of High Energy Physics · September 1, 2022
We discuss renormalization group flows in two-dimensional quantum field theories with (0,2) supersymmetry. We focus on theories with UV described by a Landau-Ginzburg Lagrangian and use the chiral algebra to constrain the IR dynamics. We present examples w ...
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Journal ArticleJournal of High Energy Physics · September 1, 2018
We introduce a class of (0,2) superconformal field theories based on hybrid geometries, generalizing various known constructions. We develop techniques for the computation of the complete massless spectrum when the theory can be interpreted as determining ...
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Journal ArticleCommunications in Mathematical Physics · April 1, 2017
We study M-theory on a Calabi–Yau fourfold with a smooth surface S of AN–1 singularities. The resulting three-dimensional theory has a N= 2 SU(N) gauge theory sector, which we obtain from a twisted dimensional reduction of a seven-dimensional N= 1 SU(N) ga ...
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Journal Article · February 15, 2017
We analyze the locus, together with multiplicities, of "bad" conformal field
theories in the compactified moduli space of N=(2,2) superconformal field
theories in the context of the generalization of the Batyrev mirror
construction using the gauged linear ...
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Journal ArticleJournal of High Energy Physics · November 1, 2015
Abstract: We carefully analyze the conditions for an abelian gauged linear σ-model to exhibit nontrivial IR behavior described by a nonsingular superconformal field theory determining a superstring vacuum. This is done without reference to a geometric phas ...
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Journal ArticleNuclear Physics B · September 1, 2015
For complete intersection Calabi-Yau manifolds in toric varieties, Gross and Haase-Zharkov have given a conjectural combinatorial description of the special Lagrangian torus fibrations whose existence was predicted by Strominger, Yau and Zaslow. We present ...
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Journal ArticleJournal of High Energy Physics · August 28, 2015
Abstract: We study the stability of heterotic compactifications described by (0,2) gauged linear sigma models with respect to worldsheet instanton corrections to the space-time superpotential following the work of Beasley and Witten [1]. We show that gener ...
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Journal ArticleJournal of High Energy Physics · January 1, 2014
Abstract: We study the role of accidental symmetries in two-dimensional (0,2) superconformal field theories obtained by RG flow from (0,2) Landau-Ginzburg theories. These accidental symmetries are ubiquitous, and, unlike in the case of (2,2) theories, thei ...
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Journal ArticleJournal of High Energy Physics · January 1, 2014
We describe a class of (2,2) superconformal field theories obtained by fibering a Landau-Ginzburg orbifold CFT over a compact Kähler base manifold. While such models are naturally obtained as phases in a gauged linear sigma model, our construction is indep ...
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Journal ArticleAdvances in Theoretical and Mathematical Physics · December 1, 2013
We consider topology changing transitions for M-theory compactifications on Calabi-Yau fourfolds with background G-flux. The local geometry of the transition is generically a genus g curve of conifold singularities, which engineers a 3d gauge theory with f ...
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Journal ArticleJournal of High Energy Physics · February 27, 2012
We enumerate massless E6 singlets for (0,2)-compactifications of the heterotic string on a Calabi-Yau threefold with the \standard embedding" in three distinct ways. In the large radius limit of the threefold, these singlets count deformations of the Calab ...
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Journal ArticleJournal of High Energy Physics · September 28, 2011
We study the linear sigma model subspace of the moduli space of (0,2) superconformal world-sheet theories obtained by deforming (2,2) theories based on Calabi-Yau hypersurfaces in reflexively plain toric varieties. We describe a set of algebraic coordinate ...
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Journal ArticleJournal of High Energy Physics · January 1, 2011
We study (0,2) deformations of a (2,2) supersymmetric gauged linear sigma model for a Calabi-Yau hypersurface in a Fano toric variety. In the non-linear sigma model these correspond to some of the holomorphic deformations of the tangent bundle on the hyper ...
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Journal ArticleJournal of High Energy Physics · January 1, 2010
A method of determining the mass spectrum of BPS D-branes in any phase limit of a gauged linear sigma model is introduced. A ring associated to monodromy is defined and one considers K-theory to be a module over this ring. A simple but interesting class of ...
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Journal ArticleJournal of High Energy Physics · February 1, 2006
We compute the contribution of discrete Coulomb vacua to A-Model correlators in toric Gauged Linear Sigma Models. For models corresponding to a compact variety, this determines the correlators at arbitrary genus. For non-compact examples, our results imply ...
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Journal ArticleJournal of High Energy Physics · June 1, 2005
We investigate toric GLSMs as models for tachyon condensation in type II strings on space-time non-supersymmetric orbifold singularities. The A-model correlators in these theories satisfy a set of relations related to the topology of the resolved orbifold. ...
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Journal ArticleJournal of High Energy Physics · August 1, 2004
We study the condensation of localized closed string tachyons in ℂ3/ℤN non-supersymmetric noncompact orbifold singularities via renormalization group flows that preserve supersymmetry in the worldsheet conformal field theory and their interrelations with t ...
Cite
Journal ArticleJournal of High Energy Physics · September 1, 2022
We discuss renormalization group flows in two-dimensional quantum field theories with (0,2) supersymmetry. We focus on theories with UV described by a Landau-Ginzburg Lagrangian and use the chiral algebra to constrain the IR dynamics. We present examples w ...
Full textCite
Journal ArticleJournal of High Energy Physics · September 1, 2018
We introduce a class of (0,2) superconformal field theories based on hybrid geometries, generalizing various known constructions. We develop techniques for the computation of the complete massless spectrum when the theory can be interpreted as determining ...
Full textOpen AccessCite
Journal ArticleCommunications in Mathematical Physics · April 1, 2017
We study M-theory on a Calabi–Yau fourfold with a smooth surface S of AN–1 singularities. The resulting three-dimensional theory has a N= 2 SU(N) gauge theory sector, which we obtain from a twisted dimensional reduction of a seven-dimensional N= 1 SU(N) ga ...
Full textCite
Journal Article · February 15, 2017
We analyze the locus, together with multiplicities, of "bad" conformal field
theories in the compactified moduli space of N=(2,2) superconformal field
theories in the context of the generalization of the Batyrev mirror
construction using the gauged linear ...
Open AccessLink to itemCite
Journal ArticleJournal of High Energy Physics · November 1, 2015
Abstract: We carefully analyze the conditions for an abelian gauged linear σ-model to exhibit nontrivial IR behavior described by a nonsingular superconformal field theory determining a superstring vacuum. This is done without reference to a geometric phas ...
Full textCite
Journal ArticleNuclear Physics B · September 1, 2015
For complete intersection Calabi-Yau manifolds in toric varieties, Gross and Haase-Zharkov have given a conjectural combinatorial description of the special Lagrangian torus fibrations whose existence was predicted by Strominger, Yau and Zaslow. We present ...
Full textCite
Journal ArticleJournal of High Energy Physics · August 28, 2015
Abstract: We study the stability of heterotic compactifications described by (0,2) gauged linear sigma models with respect to worldsheet instanton corrections to the space-time superpotential following the work of Beasley and Witten [1]. We show that gener ...
Full textCite
Journal ArticleJournal of High Energy Physics · January 1, 2014
Abstract: We study the role of accidental symmetries in two-dimensional (0,2) superconformal field theories obtained by RG flow from (0,2) Landau-Ginzburg theories. These accidental symmetries are ubiquitous, and, unlike in the case of (2,2) theories, thei ...
Full textCite
Journal ArticleJournal of High Energy Physics · January 1, 2014
We describe a class of (2,2) superconformal field theories obtained by fibering a Landau-Ginzburg orbifold CFT over a compact Kähler base manifold. While such models are naturally obtained as phases in a gauged linear sigma model, our construction is indep ...
Full textCite
Journal ArticleAdvances in Theoretical and Mathematical Physics · December 1, 2013
We consider topology changing transitions for M-theory compactifications on Calabi-Yau fourfolds with background G-flux. The local geometry of the transition is generically a genus g curve of conifold singularities, which engineers a 3d gauge theory with f ...
Full textCite
Journal ArticleJournal of High Energy Physics · February 27, 2012
We enumerate massless E6 singlets for (0,2)-compactifications of the heterotic string on a Calabi-Yau threefold with the \standard embedding" in three distinct ways. In the large radius limit of the threefold, these singlets count deformations of the Calab ...
Full textCite
Journal ArticleJournal of High Energy Physics · September 28, 2011
We study the linear sigma model subspace of the moduli space of (0,2) superconformal world-sheet theories obtained by deforming (2,2) theories based on Calabi-Yau hypersurfaces in reflexively plain toric varieties. We describe a set of algebraic coordinate ...
Full textCite
Journal ArticleJournal of High Energy Physics · January 1, 2011
We study (0,2) deformations of a (2,2) supersymmetric gauged linear sigma model for a Calabi-Yau hypersurface in a Fano toric variety. In the non-linear sigma model these correspond to some of the holomorphic deformations of the tangent bundle on the hyper ...
Full textCite
Journal ArticleJournal of High Energy Physics · January 1, 2010
A method of determining the mass spectrum of BPS D-branes in any phase limit of a gauged linear sigma model is introduced. A ring associated to monodromy is defined and one considers K-theory to be a module over this ring. A simple but interesting class of ...
Full textCite
Journal ArticleJournal of High Energy Physics · February 1, 2006
We compute the contribution of discrete Coulomb vacua to A-Model correlators in toric Gauged Linear Sigma Models. For models corresponding to a compact variety, this determines the correlators at arbitrary genus. For non-compact examples, our results imply ...
Full textCite
Journal ArticleJournal of High Energy Physics · June 1, 2005
We investigate toric GLSMs as models for tachyon condensation in type II strings on space-time non-supersymmetric orbifold singularities. The A-model correlators in these theories satisfy a set of relations related to the topology of the resolved orbifold. ...
Full textCite
Journal ArticleJournal of High Energy Physics · August 1, 2004
We study the condensation of localized closed string tachyons in ℂ3/ℤN non-supersymmetric noncompact orbifold singularities via renormalization group flows that preserve supersymmetry in the worldsheet conformal field theory and their interrelations with t ...
Cite
Journal ArticleJournal of High Energy Physics · August 1, 2004
We study the condensation of localized closed string tachyons in ℂ3/ℤN non-supersymmetric noncompact orbifold singularities via renormalization group flows that preserve supersymmetry in the worldsheet conformal field theory and their interrelations with t ...
Full textCite
Journal ArticleJournal of High Energy Physics · 2004
We study the condensation of localized closed string tachyons in ℂ3/ℤN non-supersymmetric noncompact orbifold singularities via renormalization group flows that preserve supersymmetry in the worldsheet conformal field theory and their interrelations with t ...
Cite
Journal ArticleJournal of High Energy Physics · 2004
We study the condensation of localized closed string tachyons in ℂ3/ℤN non-supersymmetric noncompact orbifold singularities via renormalization group flows that preserve supersymmetry in the worldsheet conformal field theory and their interrelations with t ...
Cite
Journal Article · September 16, 2003
We describe a block-spin-like transformation on a simplified subset of the
space of supersymmetric quiver gauge theories that arise on the worldvolumes of
D-brane probes of orbifold geometries, by sequentially Higgsing the gauge
symmetry in these theories. ...
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Journal ArticleJournal of High Energy Physics · January 1, 2001
We analyze the D-branes of a type-IIB string theory on an orbifold singularity including the possibility of discrete torsion following the work of Douglas et al. First we prove some general results about the moduli space of a point associated to the "regul ...
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Journal ArticleJournal of High Energy Physics · 2001
We analyze the D-branes of a type-IIB string theory on an orbifold singularity including the possibility of discrete torsion following the work of Douglas et al. First we prove some general results about the moduli space of a point associated to the "regul ...
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Journal ArticleJournal of High Energy Physics · January 1, 2001
We study four N = 1 SU(N)6 gauge theories, with bi-fundamental chiral matter and a superpotential. In the infrared, these gauge theories all realize the low-energy world-volume description of N coincident D3-branes transverse to the complex cone over a del ...
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Journal ArticleNuclear Physics B · February 7, 2000
We investigate field theories on the world-volume of a D3-brane transverse to partial resolutions of a ℤ3 × ℤ3 Calabi-Yau threefold quotient singularity. We deduce the field content and Lagrangian of such theories and present a systematic method for mappin ...
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Journal ArticleJournal of High Energy Physics · January 1, 2000
We introduce a method of using the a dual type-IIA string to compute α′-corrections to the moduli space of heterotic string compactifications. In particular we study the hypermultiplet moduli space of a heterotic string on a K3 surface. One application of ...
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Journal ArticleJournal of High Energy Physics · 2000
We introduce a method of using the a dual type-IIA string to compute α′-corrections to the moduli space of heterotic string compactifications. In particular we study the hypermultiplet moduli space of a heterotic string on a K3 surface. One application of ...
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Journal ArticleJournal of High Energy Physics · January 1, 1999
We show that T-duality can be broken by non-perturbative effects in string coupling. The T-duality in question is that of the 2-torus when the heterotic string is compactified on K3xT2. This case is compared carefully to a situation where T-duality appears ...
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Journal ArticleAdvances in Theoretical and Mathematical Physics · January 1, 1999
We formulate an extension of Maldacena's AdS/CFT conjectures to the case of branes located at singular points in the ambient transverse space. For singularities which occur at finite distance in the moduli space of M or F theory models with spacetimefillin ...
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Journal ArticleJournal of High Energy Physics · 1999
We show that T-duality can be broken by non-perturbative effects in string coupling. The T-duality in question is that of the 2-torus when the heterotic string is compactified on K3xT2. This case is compared carefully to a situation where T-duality appears ...
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Journal ArticleNuclear Physics B · January 6, 1997
We determine the exact global structure of the moduli space of N = 2 supersymmetric SO(n) and USp(2n) gauge theories with matter hypermultiplets in the fundamental representations, using the non-renormalization theorem for the Higgs branches and the exact ...
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Journal ArticleNuclear Physics B · 1997
We determine the exact global structure of the moduli space of N = 2 supersymmetric SO(n) and USp(2n) gauge theories with matter hypermultiplets in the fundamental representations, using the non-renormalization theorem for the Higgs branches and the exact ...
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Journal ArticleNuclear Physics B · October 7, 1996
We show how enhanced gauge symmetry in type II string theory compactified on a Calabi-Yau threefold arises from singularities in the geometry of the target space. When the target space of the type IIA string acquires a genus g curve C of AN-1 singularities ...
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Journal ArticleNuclear Physics B · July 8, 1996
We analyze in detail the moduli space of vacua of N = 2 SUSY QCD with nc colors and nf flavors. The Coulomb branch has submanifolds with non-Abelian gauge symmetry. The massless quarks and gluons at these vacua are smoothly connected to the underlying elem ...
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Journal ArticleNuclear Physics B · February 19, 1996
New examples of N = 2 supersymmetric conformal field theories are found as fixed points of SU(2) N = 2 supersymmetric QCD. Relations among the scaling dimensions of their relevant chiral operators, global symmetries, and Higgs branches are understood in te ...
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Journal ArticleNuclear Physics B - Proceedings Supplements · January 1, 1996
Superconformal sigma models with Calabi-Yau target spaces described as complete intersection subvarieties in toric varieties can be obtained as the low-energy limit of certain abelian gauge theories in two dimensions. We formulate mirror symmetry for this ...
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Journal ArticleCommunications in Mathematical Physics · November 1, 1995
We describe mirror manifolds in dimensions different from the familiar case of complex threefolds. We isolate certain simplifying features present only in dimension three, and supply alternative methods that do not rely on these special characteristics and ...
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Journal ArticleNuclear Physics, Section B · April 24, 1995
We use the gauged linear sigma model introduced by Witten to calculate instanton expansions for correlation functions in topological sigma models with target space a toric variety V or a Calabi-Yau hypersurface M ⊂ V. In the linear model the instanton modu ...
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Journal ArticleNuclear Physics, Section B · August 22, 1994
We construct a topological Landau-Ginzburg formulation of the two-dimensional string at the self-dual radius. The model is an analytic continuation of the Ak+1 minimal model to k = -3. We compute the superpotential and calculate tachyon correlators in the ...
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Journal ArticleNuclear Physics, Section B · April 12, 1993
We derive a compact and explicit expression for the generating functional of all correlation functions of tachyon operators in two-dimensional string theory. This expression makes manifest relations of the c = 1 system to KP flow nd W1 + ∞ constraints. Mor ...
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Journal ArticleNuclear Physics, Section B · June 22, 1992
We formulate simple graphical rules which allow explicit calculation of nonperturbative c = 1 S-matrices. This allows us to investigate the constraint of nonperturbative unitarity, which indeed rules out some theories. Nevertheless, we show that there is a ...
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Journal ArticlePhysical Review D · January 1, 1992
We find the general solution to Polchinski's classical scattering equations for (1 + 1)-dimensional string theory. This allows efficient computation of scattering amplitudes in the standard Liouville×c=1 background. Moreover, the solution leads to a mappin ...
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Journal ArticleModern Physics Letters A · March 7, 1991
We study the construction of (2, 0) theories from orbifolds of N=2 minimal superconformal string compactifications with non-trivial Wilson loops. In particular, we exploit the connection between geometrical and exactly soluble string vacua to arri ...
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Journal ArticleNuclear Physics, Section B · October 8, 1990
We investigate a recently proposed nonperturbative formulation of two-dimensional quantum gravity coupled to (p,q) minimal conformal matter. The coupled differential equations for the partition function summed over topologies are shown to follow from an ac ...
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Journal ArticleNuclear Physics, Section B · July 2, 1990
We describe a duality in the moduli space of string vacua which pairs topologically distinct Calabi-Yau manifolds and shows that the yield isomorphic conformal theories. At the level of the geometrical description, this duality interchanges the roles of Kä ...
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Journal Article
Localization methods have produced explicit expressions for the sphere
partition functions of (2,2) superconformal field theories. The mirror symmetry
conjecture predicts an IR duality between pairs of Abelian gauged linear sigma
models, a class of which d ...
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Internet Publication
We construct a class of exactly solved (0,2) heterotic
compactifications, similar to the (2,2) models constructed by
Gepner. We identify these as special points in moduli spaces
containing geometric limits described by non-linear sigma models on
complete ...
Open AccessLink to itemCite