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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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26 pages, 3 figures

Scientific paper

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.

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