Matrix Factorizations, Minimal Models and Massey Products

Details Matrix Factorizations, Minimal Models and Massey Products Matrix Factorizations, Minimal Models and Massey Products

2006-04-25

arxiv.org/abs/hep-th/0604189v3

JHEP0605:064,2006

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, v2: typos corrected, v3: additional comments concerning the bulk-boundary crossing constraint, some small clarificat

Scientific paper

10.1088/1126-6708/2006/05/064

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.

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