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arXiv · 1106.6165

The backreaction of anti-D3 branes on the Klebanov-Strassler geometry

Abstract

We present the full numerical solution for the 15-dimensional space of linearized deformations of the Klebanov-Strassler background which preserve the SU(2) X SU(2) X Z_2 symmetries. We identify within this space the solution corresponding to anti-D3 branes, (modulo the presence of a certain subleading singularity in the infrared). All the 15 integration constants of this solution are fixed in terms of the number of anti-D3 branes, and the solution differs in the UV from the supersymmetric solution into which it is supposed to decay by a mode corresponding to a rescaling of the field theory coordinates. Deciding whether two solutions that differ in the UV by a rescaling mode are dual to the same theory is involved even for supersymmetric Klebanov-Strassler solutions, and we explain in detail some of the subtleties associated to this.

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Iosif Bena, Gregory Giecold, Mariana Graña, Nick Halmagyi, Stefano Massai. 2011-06-30. The backreaction of anti-D3 branes on the Klebanov-Strassler geometry. https://doi.org/10.1007/jhep06(2013)060

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