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D-branes on the quintic. (English) Zbl 0989.81100
Summary: We study D-branes on the quintic CY by combining results from several directions: general results on holomorphic curves and vector bundles, stringy geometry and mirror symmetry, and the boundary states in Gepner models recently constructed by Recknagel and Schomerus, to begin sketching a picture of D-branes in the stringy regime. We also make first steps towards computing superpotentials on the D-brane world-volumes.

MSC:
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
14J99 Surfaces and higher-dimensional varieties
32J99 Compact analytic spaces
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