Superconformal Chern-Simons Theories and the Squashed Seven Sphere

Abstract

We show that there are two supersymmetric completions of the three-dimensional Chern-Simons theory of level k with gauge group U(N)xU(N) coupled to four sets of massless scalars and spinors in the bi-fundamental representation, if we require Sp(2) global symmetry with the matter fields in the fundamental representation of SU(4). One is the N=6 superconformal theory recently studied in arXiv:0806.1218 [hep-th] and another is a new theory with N=1 superconformal symmetry. We conjecture that the N=1 theory is dual to M theory on AdS_4 x Squashed S^7/Z_k.

16 pages; v2: references added

References in corpus (9)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Superconformal Indices for $\mathcal{N}=6$ Chern Simons Theories
• On the moduli space of elliptic Maxwell-Chern-Simons theories
• Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry
• On M5-branes in N=6 Membrane Action
• N = 8 Superconformal Chern--Simons Theories
• Scaling limit of N=6 superconformal Chern-Simons theories and Lorentzian Bagger-Lambert theories

Cited by in corpus (10)

• Three-dimensional N=6 SCFT's and their membrane dynamics
• On the Lie-algebraic origin of metric 3-algebras
• Quiver Chern-Simons theories and crystals
• Phases of M2-brane Theories
• Superconformal Indices for Orbifold Chern-Simons Theories
• Comments on Baryon-like Operators in N=6 Chern-Simons-matter theory of ABJM
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• Other Squashing Deformation and N=3 Superconformal Chern-Simons Gauge Theory
• Charges and homologies in AdS_4/CFT_3
• Coisotropic D-branes on AdS4 x CP3 and massive deformations