Localised anti-branes in non-compact throats at zero and finite T

TL;DR

The paper addresses whether anti-branes in KS/KT throats can be embedded without flux singularities by extending no-go theorems to non-compact geometries with and without finite temperature. Using a generalized master equation that links boundary terms to ADM mass and horizon data, the authors show that fully localised anti-D3-branes induce non-cloakable $3$-form flux singularities at $T=0$ and persist at finite $T$ under broad conditions. The results challenge the viability of certain uplift scenarios, including KKLT-like de Sitter constructions, unless one allows for departures from the assumed flux ansatz or invokes non-analytic or phase-transition behaviours in the UV boundary data. Overall, the work provides a robust, analytic no-go argument for regular flux in these non-compact anti-brane setups and clarifies the role of ADM mass and horizon boundary terms in governing IR singularities.

Abstract

We investigate the 3-form singularities that are typical to anti-brane solutions in supergravity and check whether they can be cloaked by a finite temperature horizon. For anti-D3-branes in the Klebanov-Strassler background, this was already shown numerically to be impossible when the branes are partially smeared. In this paper, we present analytic arguments that also localised branes remain with singular 3-form fluxes at both zero and finite temperature. These results may have important, possibly fatal, consequences for constructions of meta-stable de Sitter vacua through uplifting.