Moduli spaces of Chern-Simons quiver gauge theories and AdS_4/CFT_3

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dc.creatorMartelli, Dario
dc.creatorSparks, James
dc.date2008-08-07
dc.date2008-10-03
dc.date.accessioned2026-07-07T12:22:27Z
dc.date.available2026-07-07T12:22:27Z
dc.descriptionWe analyse the classical moduli spaces of supersymmetric vacua of 3d N=2 Chern-Simons quiver gauge theories. We show quite generally that the moduli space of the 3d theory always contains a baryonic branch of a parent 4d N=1 quiver gauge theory, where the 4d baryonic branch is determined by the vector of 3d Chern-Simons levels. In particular, starting with a 4d quiver theory dual to a 3-fold singularity, for certain general choices of Chern-Simons levels this branch of the moduli space of the corresponding 3d theory is a 4-fold singularity. Our results lead to a simple general method, using existing 4d techniques, for constructing candidate 3d N=2 superconformal Chern-Simons quivers with AdS_4 gravity duals. As simple, but non-trivial, examples, we identify a family of Chern-Simons quiver gauge theories which are candidate AdS_4/CFT_3 duals to an infinite class of toric Sasaki-Einstein seven-manifolds with explicit metrics.
dc.description26 pages, 1 figure; v2: new section added, discussing explicit examples; v3: minor changes
dc.identifierhttps://arxiv.org/abs/0808.0912
dc.identifierhttp://arxiv.org/abs/0808.0912
dc.identifierPhys.Rev.D78:126005,2008
dc.identifierdoi:10.1103/PhysRevD.78.126005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213657
dc.subjectHigh Energy Physics - Theory
dc.titleModuli spaces of Chern-Simons quiver gauge theories and AdS_4/CFT_3
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