On the topology of the hypermultiplet moduli space in type II/CY string vacua

Abstract : By analyzing qualitative aspects of NS5-brane instanton corrections, we determine the topology of the hypermultiplet moduli space M_H in Calabi-Yau compactifications of type II string theories at fixed value of the dilaton and of the Calabi-Yau metric. Specifically, we show that for fivebrane instanton couplings to be well-defined, translations along the intermediate Jacobian must induce non-trivial shifts of the Neveu-Schwarz axion which had thus far been overlooked. As a result, the Neveu-Schwarz axion parametrizes the fiber of a circle bundle, isomorphic to the one in which the fivebrane partition function is valued. In a companion paper [1], we go beyond the present analysis and take steps towards a quantitative description of fivebrane instanton corrections, using a combination of mirror symmetry, S-duality, topological string theory and twistor techniques.
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Journal articles
Physical Review D, American Physical Society, 2011, 83, pp.026001. <10.1103/PhysRevD.83.026001>


https://hal.archives-ouvertes.fr/hal-00518356
Contributor : Boris Pioline <>
Submitted on : Friday, September 17, 2010 - 9:38:33 AM
Last modification on : Tuesday, July 19, 2011 - 3:47:43 PM

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Sergei Alexandrov, Daniel Persson, Boris Pioline. On the topology of the hypermultiplet moduli space in type II/CY string vacua. Physical Review D, American Physical Society, 2011, 83, pp.026001. <10.1103/PhysRevD.83.026001>. <hal-00518356>

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