## Abstract

We discuss a supergravity description of the metastable state that is created by a stack of D3-branes placed at the tip of the KS background. When the number p of the D3-branes is large g_{s}p ≫ 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 ∼ (g_{s}p)^{1/4}α′^{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 W^{2} and W^{2} W^{2} with small coefficients.

Original language | English |
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Article number | 53 |

Journal | Journal of High Energy Physics |

Volume | 2011 |

Issue number | 5 |

DOIs | |

State | Published - May 11 2011 |

### Bibliographical note

Publisher Copyright:© SISSA 2011.

## Keywords

- AdS-CFT correspondence
- Brane dynamics in gauge theories

## ASJC Scopus subject areas

- Nuclear and High Energy Physics