Abstract
We calculate the euclidean partition function of the type IIA NS five- brane wrapped on an arbitrary Calabi-Yau space in a double-scaling decoupling limit and in the presence of a flat RR 3-form background field. The result is the product of a theta function, coming from the classical fluxes of the self-dual tensor field, and a factor representing the quantum contributions. The quantum factor turns out to be related to topological B-model string amplitudes, and both factors satisfy a holomorphic anomaly equation. The result can teach us more about little string theories and about instanton corrections to four-dimensional effective quantities.
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© 2003 Springer Science+Business Media Dordrecht
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Vonk, M. (2003). The Ns Five-Brane Partition Sum. In: Baulieu, L., Rabinovici, E., Harvey, J., Pioline, B., Windey, P. (eds) Progress in String, Field and Particle Theory. NATO Science Series, vol 104. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0211-0_45
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DOI: https://doi.org/10.1007/978-94-010-0211-0_45
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-1361-4
Online ISBN: 978-94-010-0211-0
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