A bstract In flux compactifications of type IIB string theory with D3 and sevenbranes, the negative induced D3 charge localized on sevenbranes 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 SeibergWitten solution of pure SU( N ) super YangMills theory to argue that wrapped sevenbranes can be thought of as bound states of more microscopic exotic branes. We argue that the lowenergy worldvolume dynamics of a stack of n such exotic branes is given by the ( A 1 , A n− 1 ) ArgyresDouglas theory. Moreover, the splitting of the perturbative (in α ′) sevenbrane into its constituent branes at the nonperturbative level resolves the apparently pathological region close to the sevenbrane 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 superpotentialmore »
D7 moduli stabilization: the tadpole menace
A bstract D7brane moduli are stabilized by worldvolume fluxes, which contribute to the D3brane tadpole. We calculate this contribution in the Type IIB limit of Ftheory compactifications on CalabiYau fourfolds with a weak Fano base, and are able to prove a nogo theorem for vast swathes of the landscape of compactifications. When the genus of the curve dual to the D7 worldvolume fluxes is fixed and the number of moduli grows, we find that the D3 charge sourced by the fluxes grows faster than 7/16 of the number of moduli, which supports the Tadpole Conjecture of ref. [1]. Our lower bound for the induced D3 charge decreases when the genus of the curves dual to the stabilizing fluxes increase, and does not allow to rule out a sliver of flux configurations dual to highgenus highdegree curves. However, we argue that most of these fluxes have very high curvature, which is likely to be above the string scale except on extremely large (and experimentally ruled out) compactification manifolds.
 Award ID(s):
 2014086
 Publication Date:
 NSFPAR ID:
 10352561
 Journal Name:
 Journal of High Energy Physics
 Volume:
 2022
 Issue:
 1
 ISSN:
 10298479
 Sponsoring Org:
 National Science Foundation
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