N=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets

By K. Hosomichi, Kimyeong Lee, Sangmin Lee, Sungjay Lee, Jaemo Park. 2008

327 citations recorded by the source corpus.

We extend the = 4 superconformal Chern-Simons theories of Gaiotto and Witten to those with additional twisted hyper-multiplets. The new theories are generically linear quiver gauge theories with the two types of hyper-multiplets alternating between gauge groups. Our construction includes the Bagger-Lambert model of SO(4) gauge group. A family of abelian theories are identified with those proposed earlier in the context of the M-crystal model for M2-branes probing (2/n)2 orbifolds. Possible extension with non-abelian BF couplings and string/M-theory realization are briefly discussed.

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

View Paper: https://www.semanticscholar.org/paper/36a992b96ea48c0b3c2e56767ba5550ebea84464

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Citations in the corpus

A Massive Study of M2-brane Proposals (2008, methodology): “Moreover, it was shown in [23] that this mass-deformed ABJM theory for SU(2)×SU(2) gauge group reduces to the maximally supersymmetric and SO(4)×SO(4) invariant mass-deformed BF theory of [18][19].”
The gauge dual of Romans mass (2009, background): “ki = (−1) i k, the necklace quivers enjoy N = 4 supersymmetry [12, 26 ], with an SO(4)”
Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry (2008, background): “This was generalized to include twisted hypermultiplets in [11, 34].”
A simple class of N = 3 gauge/gravity duals (2008, methodology): “Other solutions dual to CFT’s with a Lagrangian descriptions have since been proposed: an orbifold of AdS4 × CP 3 in [17, 18], solutions that come from extrema of the same N = 8 four-dimensional effective theory in [18 – 20], cases with orientifolds [21 – 23], and a squashed CP3 [24].”
Three-dimensional N=6 SCFT's and their membrane dynamics (2008, background): “1 Superconformal extensions of Chern-Simons theory with various amounts of supersymmetry have been also considered recently in [4, 5, 6, 7].”
Tilings, Chern-Simons Theories and M2 Branes (2008, background): “Other examples of superconformal Chern-Simons theories with supersymmetry N = 3, 4, 5 have been constructed recently [17, 18, 19, 20, 21, 22, 23, 24].”
N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals (2008, background): “Theories with N = 4 supersymmetry were recently constructed in [15], see also [16].”
Towards the F-theorem: $ \mathcal{N} = 2 $ field theories on the three-sphere (2011, background): “In particular, M-theory in the AdS4 × S/Zk background is now thought to be dual to the ABJM theory—the N = 6 superconformal U(N)k×U(N)−k Chern-Simons-matter gauge theory constructed in [5] (see also [6,7]).”
Fractional M2-branes (2008, background): “1 These theories are special cases of N = 4 superconformal Chern-Simons theories constructed in [6, 7 ].”
N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds (2008, methodology): “1 Review of N = 4 We review the construction of general N = 4 superconformal Chern-Simons-matter theories [12, 13].”
Multimatrix models and tri-Sasaki Einstein spaces (2010, background): “) the supersymmetry is enhanced to N = 4 [12, 31, 32].”
Superconformal Chern-Simons Theories and AdS(4)/CFT(3) Correspondence (2008, unknown): “Contents”