N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds

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

418 citations recorded by the source corpus.

We explore further our recent generalization of the = 4 superconformal Chern-Simons theories of Gaiotto and Witten. We find and construct explicitly theories of enhanced = 5 or 6 supersymmetry, especially = 5, Sp(2M) ? O(N) and = 6, Sp(2M) ? O(2) theories. The U(M) ? U(N) theory coincides with the = 6 theory of Aharony, Bergman, Jafferis and Maldacena (ABJM). We argue that the = 5 theory with Sp(2N) ? O(2N) gauge group can be understood as an orientifolding of the ABJM model with U(2N) ? U(2N) gauge group. We briefly discuss the Type IIB brane construction of the = 5 theory and the geometry of the M-theory orbifold.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ed0c259c9cc42bc148e5011ad203a5dbeafdf01a

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Citations in the corpus

Chiral flavors and M2-branes at toric CY4 singularities (2009, background): “If N ≥ 3, H7 is 3-Sasakian and hyper-Kähler geometry can be used to construct dual pairs [2, 3, 4, 5, 6].”
A simple class of N = 3 gauge/gravity duals (2008, positive): “This generalizes the orientifolds considered in [22,23].”
Exact results in ABJM theory from topological strings (2009, background): “In fact, the ABJM theory can be constructed as an N = 4 theory with supergroup U(N1|N2) and containing both hypermultiplets and twisted hypermultiplets [27].”
Three-dimensional N=6 SCFT's and their membrane dynamics (2008, methodology): “2 The supersymmetries of this action have been checked carefully in [8, 9], while its relation to the construction in terms of three-algebras has been described in [10, 11].”
The complete superconformal index for N=6 Chern–Simons theory (2009, background): “N =5, N =4 Chern-Simons-matter theories and the gravity duals of some of them are studied in [14, 16] and [35], respectively.”
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.”
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].”
Fractional M2-branes (2008, background): “case of SO(2) × USp(2N) these theories have an enhanced N = 6 supersymmetry [8,27].”
Chern–Simons theory with vector fermion matter (2011, methodology): “For examples with a large amount of supersymmetry this programme was spectacularly initiated by ABJM [6] and carried forward in several follow up papers [8–10].”
Generalized conformal symmetry and recovery of SO(8) in multiple M2 and D2 branes (2008, methodology): “There are also interesting works of the ABJM theory for the relation to a M5-brane through the Basu-Harvey equations [20, 21, 22], N = 6 Chern-Simons theory with the other gauge groups [23, 24] and the N ≤ 8 superconformal theories from the 3-dimensional gauged supergravity models [25].”
A Massive Study of M2-brane Proposals (2008, methodology): “As we review in appendix C, this action may be written in terms of N = 1 superfields [24], or in terms of N = 2 superfields [15, 22].”