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On gravity dual of a metastable vacuum in Klebanov-Strassler theory

A. Dymarsky

Published 2011 in Journal of High Energy Physics

ABSTRACT

We discuss a supergravity description of the metastable state that is created by a stack of $ \overline {\text{D}} 3 $-branes placed at the tip of the KS background. When the number p of the $ \overline {\text{D}} 3 $-branes is large gsp ≫ 1 the characteristic curvature of the corresponding gravity dual is large in stringy units and one may expect the background to be regular everywhere. Starting from the distances of order R ∼ (gsp)1/4α′1/2 away from the tip the new background can be well approximated by a linear perturbation around KS. By applying the appropriate boundary conditions in both IR and UV we found the lowest KK mode of the corresponding linear perturbation. The solution we found contains VEVs of the SU(2) × SU(2) invariant operators at the linear order in p. As a non-trivial check we calculate the ADM mass which exactly matches the probe approximation. As a byproduct we also found a gravity background dual to the KS theory deformed by the operators W2 and $ {W^2}{\bar{W}^2} $ with small coefficients.

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