Topological D-branes and commutative algebra
Publication
, Journal Article
Aspinwall, PS
Published in: Communications in Number Theory and Physics
January 1, 2009
We show that questions concerning the topological B-model on a Calabi-Yau manifold in the Landau-Ginzburg phase can be rephrased in the language of commutative algebra. This yields interesting and very practical methods for analyzing the model. We demonstrate how the relevant "Ext" groups and superpotentials can be computed efficiently by computer algebra packages such as Macaulay. This picture leads us to conjecture a general description of D-branes in linear sigma models in terms of triangulated categories. Each phase of the linear sigma model is associated with a different presentation of the category of D-branes.
Duke Scholars
Published In
Communications in Number Theory and Physics
DOI
EISSN
1931-4531
ISSN
1931-4523
Publication Date
January 1, 2009
Volume
3
Issue
3
Start / End Page
445 / 474
Related Subject Headings
- 4904 Pure mathematics
- 4902 Mathematical physics
- 0105 Mathematical Physics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Aspinwall, P. S. (2009). Topological D-branes and commutative algebra. Communications in Number Theory and Physics, 3(3), 445–474. https://doi.org/10.4310/CNTP.2009.v3.n3.a1
Aspinwall, P. S. “Topological D-branes and commutative algebra.” Communications in Number Theory and Physics 3, no. 3 (January 1, 2009): 445–74. https://doi.org/10.4310/CNTP.2009.v3.n3.a1.
Aspinwall PS. Topological D-branes and commutative algebra. Communications in Number Theory and Physics. 2009 Jan 1;3(3):445–74.
Aspinwall, P. S. “Topological D-branes and commutative algebra.” Communications in Number Theory and Physics, vol. 3, no. 3, Jan. 2009, pp. 445–74. Scopus, doi:10.4310/CNTP.2009.v3.n3.a1.
Aspinwall PS. Topological D-branes and commutative algebra. Communications in Number Theory and Physics. 2009 Jan 1;3(3):445–474.
Published In
Communications in Number Theory and Physics
DOI
EISSN
1931-4531
ISSN
1931-4523
Publication Date
January 1, 2009
Volume
3
Issue
3
Start / End Page
445 / 474
Related Subject Headings
- 4904 Pure mathematics
- 4902 Mathematical physics
- 0105 Mathematical Physics
- 0101 Pure Mathematics