A simple class of N = 3 gauge/gravity duals

By D. Jafferis, A. Tomasiello. 2008

188 citations recorded by the source corpus.

We find the gravity duals to an infinite series of = 3 Chern-Simons quiver theories. They are AdS4 × M7 vacua of M-theory, with M7 in a certain class of 3-Sasaki-Einstein manifolds obtained by a quotient construction. The field theories can be engineered from a brane configuration; their geometry is summarized by a ``hyperKahler toric fan'' that can be read off easily from the relative angles of the branes. The singularity at the tip of the cone over M7 is generically not an orbifold. The simplest new manifolds we consider can be written as the biquotient U(1)\U(3)/U(1). We also comment on the relation between our theories and four-dimensional = 1 theories with the same quiver.

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

View Paper: https://www.semanticscholar.org/paper/e7acbf18f2fc2f41b31efc9c49ce122a6620b374

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Citations in the corpus

ABJM theory as a Fermi gas (2011, methodology): “This class of CSM theories is dual to M-theory on AdS4 × X7, where X7 is an appropriate tri-Sasaki Einstein space [39].”
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.”
A universal counting of black hole microstates in AdS4 (2017, background): “Since N = 3 theories necessarily have rational R-charges this applies to the N = 3 necklace quivers [46, 47] as well as the D̂- and Ê-type quivers [48–50], and the N = 3 quiver for N [44, 55, 56].”
Towards the F-theorem: $ \mathcal{N} = 2 $ field theories on the three-sphere (2011, methodology): “In section 3 we discuss an infinite class of the necklace quiver gauge theories with N = 2 supersymmetry where the N = 3 models proposed in [25, 26], and studied in [10], are deformed by adding a cubic superpotential for the adjoints [27].”
A one-loop test of quantum supergravity (2012, methodology): “ces [1] O. Aharony, O. Bergman, D. L. Jaﬀeris and J. Maldacena, “N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals,” JHEP 0810, 091 (2008) [arXiv:0806.1218 [hep-th]]. [2] D. L. Jaﬀeris and A. Tomasiello, “A Simple class of N=3 gauge/gravity duals,” JHEP 0810, 101 (20”
Chiral flavors and M2-branes at toric CY4 singularities (2009, background): “n between the CY 4 geometric moduli space of a 3d quiver CS theory and the CY 3 = CY 4//U(1)M mesonic moduli space of a 4d gauge theory with the same quiver and superpotential was ﬁrst pointed out in [6, 7, 8]. We aim to extend the correspondence to cases in which the Ka¨hler quotient has complex di”
The gauge dual of Romans mass (2009, methodology): “Nevertheless, there is now an infinite series of N = 3 examples [19, 20], which can be derived using the same duality procedure as in [1].”
Localization techniques in quantum field theories (2016, background): “It has then been realized that very similar systems of zeromodes arise in many other localization contexts, for instance for the Witten index in one dimension [100, 101], for the Nekrasov partition function [102] in four [103] and five [104] dimensions, for the topological twist in two dimensions [9”
Tilings, Chern-Simons Theories and M2 Branes (2008, methodology): “We will encounter some models that have already appeared in the literature as orbifold of the ABJM theory and may have enhanced N = 3 or N = 4 supersymmetry [17, 18, 20, 21, 23], as well as many other new models based on 3+1 dimensional quivers.”
Multimatrix models and tri-Sasaki Einstein spaces (2010, methodology): “3 Necklace Quiver Gauge Theories In this section we consider a class of quiver Chern-Simons U(N)k1 ×U(N)k2 × · · · ×U(N)kp gauge theories whose quiver diagrams look like necklaces (see figure 3) [12,13].”
The large N limit of quiver matrix models and Sasaki-Einstein manifolds (2011, methodology): “More recently in [7] and [8] similar results have been obtained for classes of N = 3 Chern-Simons-quivers [9] with M-theory duals of the form AdS4× Y , where Y are tri-Sasakian manifolds [10].”
Charges of monopole operators in Chern-Simons Yang-Mills theory (2009, unknown): “ and bifundamental hyper multiplets. These Yang-Mills Chern-Simons theories can ﬂow in the IR to N= 3 superconformal ﬁxed points; some of them have M-theory AdS4 duals found by Jaﬀeris and Tomasiello [34]. Determination of monopole operator dimensions poses more of a challenge in N= 2 superconformal”
Landscape of superconducting membranes (2009, background): “ion allowed [60] to identify the eld theory as a specic superconformal U(N) U(N) Chern-Simons theory at levels kand k. The ABJM brane construction was generalised to a family of N= 3 eld theories in [64]. These are dual to backgrounds in which M 7 is a tri-Sasakian manifold. The eld theory dual for ”