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Large D-instanton effects in string theory

Abstract : By reduction along the time direction, black holes in 4 dimensions yield instantons in 3 dimensions. Each of these instantons contributes individually at order $\exp(-|Q|/g_s)$ to certain protected couplings in the three-dimensional effective action, but the number of distinct instantons is expected to be equal (or comparable) to the number of black hole micro-states, i.e. of order $\exp(Q^2)$. The same phenomenon also occurs for certain protected couplings in four dimensions, such as the hypermultiplet metric in type II string theories compactified on a Calabi-Yau threefold. In either case, the D-instanton series is therefore asymptotic, much like the perturbative expansion in any quantum field theory. By using a Borel-type resummation method, adapted to the Gaussian growth of the D-instanton series, we find that the total D-instanton sum has an inherent ambiguity of order $\exp(-1/g_s^2)$. We further suggest that this ambiguity can be lifted by including Kaluza-Klein monopole or NS5-brane instantons.
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https://hal.archives-ouvertes.fr/hal-00378287
Contributor : Boris Pioline Connect in order to contact the contributor
Submitted on : Thursday, April 23, 2009 - 9:56:44 PM
Last modification on : Tuesday, November 16, 2021 - 4:28:45 AM

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  • HAL Id : hal-00378287, version 1
  • ARXIV : 0904.2303

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Boris Pioline, Stefan Vandoren. Large D-instanton effects in string theory. Journal of High Energy Physics, Springer, 2009, pp.JHEP07(2009)008. ⟨hal-00378287⟩

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