
Quivers from Matrix Factorizations
Publication
, Journal Article
Aspinwall, PS; Morrison, DR
Published in: Communications in Mathematical Physics
August 1, 2012
We discuss how matrix factorizations offer a practical method of computing the quiver and associated superpotential for a hypersurface singularity. This method also yields explicit geometrical interpretations of D-branes (i. e., quiver representations) on a resolution given in terms of Grassmannians. As an example we analyze some non-toric singularities which are resolved by a single ℙ 1 but have "length" greater than one. These examples have a much richer structure than conifolds. A picture is proposed that relates matrix factorizations in Landau-Ginzburg theories to the way that matrix factorizations are used in this paper to perform noncommutative resolutions. © 2012 Springer-Verlag.
Duke Scholars
Published In
Communications in Mathematical Physics
DOI
EISSN
1432-0916
ISSN
0010-3616
Publication Date
August 1, 2012
Volume
313
Issue
3
Start / End Page
607 / 633
Related Subject Headings
- Mathematical Physics
- 5107 Particle and high energy physics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 0206 Quantum Physics
- 0105 Mathematical Physics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Aspinwall, P. S., & Morrison, D. R. (2012). Quivers from Matrix Factorizations. Communications in Mathematical Physics, 313(3), 607–633. https://doi.org/10.1007/s00220-012-1520-1
Aspinwall, P. S., and D. R. Morrison. “Quivers from Matrix Factorizations.” Communications in Mathematical Physics 313, no. 3 (August 1, 2012): 607–33. https://doi.org/10.1007/s00220-012-1520-1.
Aspinwall PS, Morrison DR. Quivers from Matrix Factorizations. Communications in Mathematical Physics. 2012 Aug 1;313(3):607–33.
Aspinwall, P. S., and D. R. Morrison. “Quivers from Matrix Factorizations.” Communications in Mathematical Physics, vol. 313, no. 3, Aug. 2012, pp. 607–33. Scopus, doi:10.1007/s00220-012-1520-1.
Aspinwall PS, Morrison DR. Quivers from Matrix Factorizations. Communications in Mathematical Physics. 2012 Aug 1;313(3):607–633.

Published In
Communications in Mathematical Physics
DOI
EISSN
1432-0916
ISSN
0010-3616
Publication Date
August 1, 2012
Volume
313
Issue
3
Start / End Page
607 / 633
Related Subject Headings
- Mathematical Physics
- 5107 Particle and high energy physics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 0206 Quantum Physics
- 0105 Mathematical Physics
- 0101 Pure Mathematics