Quantum mirror symmetry and twistors
arXiv:0906.3743 · doi:10.1088/1126-6708/2009/09/108
Abstract
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.
40 pages, 2 figures
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Cited by in corpus (24)
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- Fivebrane instantons, topological wave functions and hypermultiplet moduli spaces
- Multiple D3-instantons and mock modular forms I
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- Self-dual Einstein Spaces, Heavenly Metrics and Twistors
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- S-duality in Twistor Space
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- Heterotic-type II duality in twistor space
- Hypermultiplet metric and NS5-instantons
- Mock modularity at work, or black holes in a forest
- Non-perturbative scalar potential inspired by type IIA strings on rigid CY
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- S-duality and the universal isometries of q-map spaces