Deformation Theory of Matrix Factorizations and F-Terms in the Boundary Changing Sector

Abstract

We extend the deformation theory algorithm of matrix factorizations to systems with more than one D-brane. The obstructions to the deformations are F-term equations which can be integrated to an effective superpotential. We demonstrate the power of this formalism for several examples of minimal models with two or three D-branes. These are realistic toy examples for systems with multiple D-branes in Calabi-Yau threefolds since both classes of models have obstructed open moduli.

26 pages, 3 figures

References in corpus (3)

• Relative periods and open-string integer invariants for a compact Calabi-Yau hypersurface
• Calculations for Mirror Symmetry with D-branes
• D-Branes in Topological String Theory