## Abstract

We study supergravity backgrounds encoded through the gauge/string correspondence by the SU(N) × SU(N) theory arising on N D3-branes on the conifold. As discussed in hep-th/9905104, the dynamics of this theory describes warped versions of both the singular and the resolved conifolds through different (symmetry breaking) vacua. We construct these supergravity solutions explicitly and match them with the gauge theory with different sets of vacuum expectation values of the bi-fundamental fields A_{1},A _{2},B_{1},B_{2}. For the resolved conifold, we find a non-singular SU(2) × U(1) × U(1) symmetric warped solution produced by a stack of D3-branes localized at a point on the blown-up 2-sphere. It describes a smooth RG flow from AdS_{5} × T^{1,1} in the UV to AdS_{5} × S^{5} in the IR, produced by giving a VEV to just one field, e.g. B_{2}. The presence of a condensate of baryonic operator detB_{2} is confirmed using a Euclidean D3-brane wrapping a 4-cycle inside the resolved conifold. The Green's functions on the singular and resolved conifolds are central to our calculations and are discussed in some detail.

Original language | English (US) |
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Article number | 042 |

Journal | Journal of High Energy Physics |

Volume | 2007 |

Issue number | 3 |

DOIs | |

State | Published - Mar 1 2007 |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

## Keywords

- AdS-CFT correspondence
- Spontaneous symmetry breaking