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

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• Algebraic structures on parallel M2-branes
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• Towards Holographic Gravity Dual of N=1Superconformal Chern-Simons Gauge Theory
• Conifold Transitions and Five-Brane Condensation in M-Theory on Spin(7) Manifolds
• Three-Dimensional CFTs and RG Flow from Squashing M2-Brane Horizon

Cited by in corpus (42)

• Lectures on Generalized Complex Geometry for Physicists
• Chiral flavors and M2-branes at toric CY4 singularities
• Three-dimensional N=6 SCFT's and their membrane dynamics
• The gauge dual of Romans mass
• AdS_4/CFT_3 -- Squashed, Stretched and Warped
• On the Lie-algebraic origin of metric 3-algebras
• On deformed gauge theories and their string/M-theory duals
• Exploring Pure Spinor String Theory on AdS_4 x CP^3
• ABJM models in N=3 harmonic superspace
• Quiver Chern-Simons theories and crystals
• Tri-Sasakian consistent reduction
• Phases of M2-brane Theories
• On the gravity dual of Chern-Simons-matter theories with unquenched flavor
• A new AdS_4/CFT_3 Dual with Extended SUSY and a Spectral Flow
• Is entanglement a probe of confinement?
• $\mathcal{N}=1$ dualities in 2+1 dimensions
• Non-integrability and Chaos with Unquenched Flavor
• Supersymmetric deformations of 3D SCFTs from tri-sasakian truncation
• Superconformal Indices for Orbifold Chern-Simons Theories
• Mass Gap without Confinement
• Mass spectrum of gapped, non-confining theories with multi-scale dynamics
• Evidence for the Holographic dual of $\mathcal{N}=3$ Solution in Massive Type IIA
• N=1 Chern-Simons theories, orientifolds and Spin(7) cones
• Branes and fluxes in special holonomy manifolds and cascading field theories
• (Un)Higgsing the M2-brane
• Wilson Loops in 3d QFT from D-branes in AdS(4) x CP**3
• 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
• Branes and massive IIA duals of 3d CFT's
• Charges and homologies in AdS_4/CFT_3
• Coset for Hopf fibration and Squashing
• Fermionic impurities in the unquenched ABJM
• Spin(7) duality for N=1 CS-matter theories
• Coisotropic D-branes on AdS4 x CP3 and massive deformations
• Holographic duality and applications
• Three-dimensional super Yang-Mills with unquenched flavor
• Renormalization group flows in gauge-gravity duality
• N=1 Chern-Simons-matter theory and localization
• Phase transitions in a three-dimensional analogue of Klebanov-Strassler
• Non-perturbative Aspects of Quantum Field Theories from Holography
• The AdS/CFT Correspondence and Symmetry Breaking