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January 2010 Matrix Factorizations, Massey Products and F-Terms for Two-Parameter Calabi-Yau Hypersurfaces
Johanna Knapp, Emanuel Scheidegger
Adv. Theor. Math. Phys. 14(1): 225-308 (January 2010).


We discuss B-type tensor product branes in mirrors of two-parameter Calabi–Yau hypersurfaces, using the language of matrix factorizations. We determine the open string moduli of the branes at the Gepner point. By turning on both bulk and boundary moduli we then deform the brane away from the Gepner point. Using the deformation theory of matrix factorizations we compute Massey products. These contain the information about higher order deformations and obstructions. The obstructions are encoded in the F-term equations, which we obtain from the Massey product algorithm. We show that the F-terms can be integrated to an effective superpotential. Our results provide an ingredient to open/closed mirror symmetry for these hypersurfaces.


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Johanna Knapp. Emanuel Scheidegger. "Matrix Factorizations, Massey Products and F-Terms for Two-Parameter Calabi-Yau Hypersurfaces." Adv. Theor. Math. Phys. 14 (1) 225 - 308, January 2010.


Published: January 2010
First available in Project Euclid: 31 August 2010

zbMATH: 1206.81104
MathSciNet: MR2684981

Rights: Copyright © 2010 International Press of Boston

Vol.14 • No. 1 • January 2010
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