2007/01/26 by Igor R. Klebanov, Arvind Murugan · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #hep-th
paper · pdf · doi:10.1088/1126-6708/2007/03/042
published as JHEP 0703:042,2007 · 22 pages, 2 figures, v2 added note on wrapped euclidean D3 brane, other minor corrections
arxiv created 2007/01/26 · openalex publication_date 2007/03/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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, A2, 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 det B2 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.