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Resolving spacetime singularities in flux compactifications & KKLT

Carta, Federico; Moritz, Jakob

Resolving spacetime singularities in flux compactifications & KKLT Thumbnail


Authors

Jakob Moritz



Abstract

In flux compactifications of type IIB string theory with D3 and seven-branes, the negative induced D3 charge localized on seven-branes leads to an apparently pathological profile of the metric sufficiently close to the source. With the volume modulus stabilized in a KKLT de Sitter vacuum this pathological region takes over a significant part of the entire compactification, threatening to spoil the KKLT effective field theory. In this paper we employ the Seiberg-Witten solution of pure SU(N) super Yang-Mills theory to argue that wrapped seven-branes can be thought of as bound states of more microscopic exotic branes. We argue that the low-energy worldvolume dynamics of a stack of n such exotic branes is given by the (A1, An−1) Argyres-Douglas theory. Moreover, the splitting of the perturbative (in α′) seven-brane into its constituent branes at the non-perturbative level resolves the apparently pathological region close to the seven-brane and replaces it with a region of O(1) Einstein frame volume. While this region generically takes up an O(1) fraction of the compactification in a KKLT de Sitter vacuum we argue that a small flux superpotential dynamically ensures that the 4d effective field theory of KKLT remains valid nevertheless.

Citation

Carta, F., & Moritz, J. (2021). Resolving spacetime singularities in flux compactifications & KKLT. Journal of High Energy Physics, 2021(8), https://doi.org/10.1007/jhep08%282021%29093

Journal Article Type Article
Acceptance Date Aug 1, 2021
Online Publication Date Aug 18, 2021
Publication Date 2021
Deposit Date Nov 9, 2021
Publicly Available Date Mar 29, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Electronic ISSN 1029-8479
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2021
Issue 8
DOI https://doi.org/10.1007/jhep08%282021%29093

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.




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