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arXiv · hep-th/0512206

Hypermultiplets and Topological Strings

Martin Rocek·Cumrun Vafa·Stefan Vandoren
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Abstract

The c-map relates classical hypermultiplet moduli spaces in compactifications of type II strings on a Calabi-Yau threefold to vector multiplet moduli spaces via a further compactification on a circle. We give an off-shell description of the c-map in N=2 superspace. The superspace Lagrangian for the hypermultiplets is a single function directly related to the prepotential of special geometry, and can therefore be computed using topological string theory. Similarly, a class of higher derivative terms for hypermultiplets can be computed from the higher genus topological string amplitudes. Our results provide a framework for studying quantum corrections to the hypermultiplet moduli space, as well as for understanding the black hole wave-function as a function of the hypermultiplet moduli.

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Martin Rocek, Cumrun Vafa, Stefan Vandoren. 2005-12-24. Hypermultiplets and Topological Strings. https://doi.org/10.1088/1126-6708%2F2006%2F02%2F062

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