Matrix Factorizations, Minimal Models and Massey Products
arXiv:hep-th/0604189 · doi:10.1088/1126-6708/2006/05/064
Abstract
We present a method to compute the full non-linear deformations of matrix factorizations for ADE minimal models. This method is based on the calculation of higher products in the cohomology, called Massey products. The algorithm yields a polynomial ring whose vanishing relations encode the obstructions of the deformations of the D-branes characterized by these matrix factorizations. This coincides with the critical locus of the effective superpotential which can be computed by integrating these relations. Our results for the effective superpotential are in agreement with those obtained from solving the A-infinity relations. We point out a relation to the superpotentials of Kazama-Suzuki models. We will illustrate our findings by various examples, putting emphasis on the E_6 minimal model.
32 pages, v2: typos corrected, v3: additional comments concerning the bulk-boundary crossing constraint, some small clarifications, typos
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Cited by in corpus (10)
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- Matrix Factorizations, D-Branes and their Deformations
- D-brane monodromies from a matrix-factorization perspective
- Defect Perturbations in Landau-Ginzburg Models
- Boundary states, matrix factorisations and correlation functions for the E-models
- Matrix Factorizations and Homological Mirror Symmetry on the Torus
- Non-Factorizable Branes on the Torus
- Algorithmic deformation of matrix factorisations
- B-type D-branes in hybrid models
- Towards Mirror Symmetry with Semi-Realistic Intersecting Brane Configurations