Effective superpotentials for B-branes in Landau-Ginzburg models

Abstract

We compute the partition function for the topological Landau-Ginzburg B-model on the disk. This is done by treating the worldsheet superpotential perturbatively. We argue that this partition function as a function of bulk and boundary perturbations may be identified with the effective D-brane superpotential in the target spacetime. We point out the relationship of this approach to matrix factorizations. Using these methods, we prove a conjecture for the effective superpotential of Herbst, Lazaroiu and Lerche for the A-type minimal models. We also consider the Landau-Ginzburg theory of the cubic torus where we show that the effective superpotential, given by the partition function, is consistent with the one obtained by summing up disk instantons in the mirror A-model. This is done by explicitly constructing the open-string mirror map.

57p, 7 figs, harvmac

References in corpus (6)

• Tachyon Condensation on the Elliptic Curve
• Matrix Factorizations, Minimal Models and Massey Products
• A quantum McKay correspondence for fractional 2p-branes on LG orbifolds
• Instanton Geometry and Quantum A-infinity structure on the Elliptic Curve
• Quantum A-infinity Structures for Open-Closed Topological Strings
• Fractional two-branes, toric orbifolds and the quantum McKay correspondence

Cited by in corpus (15)

• Hints for Off-Shell Mirror Symmetry in type II/F-theory Compactifications
• D-brane superpotentials and RG flows on the quintic
• B-type defects in Landau-Ginzburg models
• Matrix Factorizations, D-Branes and their Deformations
• Moduli Webs and Superpotentials for Five-Branes
• D-brane monodromies from a matrix-factorization perspective
• D-Branes in Topological String Theory
• Localized mirror functor for Lagrangian immersions, and homological mirror symmetry for P^1_{a,b,c}
• Chiral primaries in the Leigh-Strassler deformed N=4 SYM -- a perturbative study
• Remarks on quiver gauge theories from open topological string theory
• Hybrid models for homological projective duals and noncommutative resolutions
• Matrix Factorizations and Homological Mirror Symmetry on the Torus
• Defects and boundary RG flows in $\mathbb{C}/{\mathbb{Z}}_d$
• Non-Factorizable Branes on the Torus
• Bulk deformations of open topological string theory