F-term equations near Gepner points

Abstract

We study marginal deformations of B-type D-branes in Landau-Ginzburg orbifolds. The general setup of matrix factorizations allows for exact computations of F-term equations in the low-energy effective theory which are much simpler than in a corresponding geometric description. We present a number of obstructed and unobstructed examples in detail, including one in which a closed string modulus is obstructed by the presence of D-branes. In a certain example, we find a non-trivial global structure of the BRST operator on the moduli space of branes.

28 pages

References in corpus (5)

• Orientifolds of Gepner Models
• Superpotentials, A-infinity Relations and WDVV Equations for Open Topological Strings
• On the boundary coupling of topological Landau-Ginzburg models
• Localization and traces in open-closed topological Landau-Ginzburg models
• Boundary RG Flows of N=2 Minimal Models

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