%ACarta, Federico%AMoritz, Jakob%BJournal Name: Journal of High Energy Physics; Journal Volume: 2021; Journal Issue: 8
%D2021%I
%JJournal Name: Journal of High Energy Physics; Journal Volume: 2021; Journal Issue: 8
%K
%MOSTI ID: 10345747
%PMedium: X
%TResolving spacetime singularities in flux compactifications & KKLT
%XA bstract 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 ( A 1 , A n− 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 $$ \mathcal{O} $$ O (1) Einstein frame volume. While this region generically takes up an $$ \mathcal{O} $$ 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.
%0Journal Article