Gauge/gravity duality and warped resolved conifold

Igor R. Klebanov, Arvind Murugan

Research output: Contribution to journalArticle

56 Scopus citations

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 A1,A 2,B1,B2. 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 AdS5 × T1,1 in the UV to AdS5 × S5 in the IR, produced by giving a VEV to just one field, e.g. B2. The presence of a condensate of baryonic operator detB2 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 languageEnglish (US)
Article number042
JournalJournal of High Energy Physics
Volume2007
Issue number3
DOIs
StatePublished - Mar 1 2007

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Keywords

  • AdS-CFT correspondence
  • Spontaneous symmetry breaking

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