Quantum mirror symmetry and twistors

Details Quantum mirror symmetry and twistors Quantum mirror symmetry and twistors

2009-06-19

arxiv.org/abs/0906.3743v1

JHEP 0909:108,2009

Physics

High Energy Physics

High Energy Physics - Theory

40 pages, 2 figures

Scientific paper

10.1088/1126-6708/2009/09/108

Using the twistor approach to hypermultiplet moduli spaces, we derive the worldsheet, D(-1), and D1-instanton contributions to the generalized mirror map, relating Type IIA and Type IIB string theory compactified on generic mirror Calabi-Yau threefolds. For this purpose, we provide a novel description of the twistor space underlying the Type IIB hypermultiplet moduli space where the SL(2,Z)-action is found to be free from quantum corrections. The extent to which instanton effects may resolve the perturbative singularities of the moduli space metric is discussed.

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