Moduli spaces of Chern-Simons quiver gauge theories and AdS(4)/CFT(3)

By D. Martelli, J. Sparks. 2008

198 citations recorded by the source corpus.

We analyze 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{sub 4} gravity duals. As simple, but nontrivial, examples, we identify a family of Chern-Simons quiver gauge theories which are candidate AdS{sub 4}/CFT{sub 3} duals to an infinite class of toric Sasaki-Einstein seven-manifolds with explicit metrics.

Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/7e5fa8d4a04ad1ac82d919330e3cdfeb9a30f963

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Citations in the corpus

A universal counting of black hole microstates in AdS4 (2017, background): “This class of quivers includes interesting models, like the quiver for M(1,1,1) proposed in [43] and further studied in [52].”
Comments on 3d Seiberg-like dualities (2011, background): “Generally such a quiver has gauge group U(n1) × · · · × U(nG) with some CS interactions, and fields Xij in bifundamental representations coupled together by a superpotential [36, 37, 38, 39, 40, 41, 42].”
Landscape of superconducting membranes (2009, background): “Combining the extensive intuition gained from toric N = 1 superconformal field theories in 3+1 dimensions and the ABJM construction, it has been proposed that the worldvolume theory of M2 branes probing toric Calabi-Yau cones is given by a quiver Chern-Simons theory [65, 66, 67, 68, 69, 70].”
Black hole microstates in AdS4 from supersymmetric localization (2015, methodology): “For instance, starting with the geometries AdS4× SE7 and their field theory duals (possibly considering toric Sasaki-Einstein cones as in [52–57]) and placing them on a Riemann surface, one can obtain 14 -BPS black holes in broad families of 4D N = 2 gauged supergravities.”
Tilings, Chern-Simons Theories and M2 Branes (2008, result): “Note added: While finishing this work, a paper [52] appeared in the arXiv, which has some overlap with our results.”
The gauge dual of Romans mass (2009, unknown): “It contains the symplectic matrix ω, defined as being ( ǫ 0 0 ǫ ) , with ǫ the antisymmetric 2×2 matrix.”
Three-dimensional N=6 SCFT's and their membrane dynamics (2008, background): “11 The moduli space problem for theories with group U(1) were also considered recently in [69].”
Supersymmetry on curved spaces and holography (2012, background): “Such a set-up has two dual descriptions [129–132].”
Lifshitz spacetimes from AdS null and cosmological solutions (2010, background): “Similarly we expect that the AdS4-deformed solutions are dual to appropriate lightlike deformations of Chern-Simons theories arising on M2-branes stacked at appropriate supersymmetric singularities [42–61], dimensionally reduced along a compact direction.”