Mass Deformed ABJM Theory on Three Sphere in Large N limit

Abstract

In this paper the free energy of the mass deformed ABJM theory on S^3 in the large N limit is studied. We find a new solution of the large N saddle point equation which exists for an arbitrary value of the mass parameter, and compute the free energies for these solutions. We also show that the solution corresponding to an asymptotically AdS_4 geometry is singular at a certain value of the mass parameter and does not exist over this critical value. It is not clear what the gravity dual of the mass deformed ABJM theory on S^3 for the mass parameter larger than the critical value is.

34 pages, 1 figure; v2 :references added, minor changes, published version

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• SU(N) q-Toda equations from mass deformed ABJM theory
• Phase transitions and Wilson loops in antisymmetric representations in Chern-Simons-matter theory
• M2-branes and $\mathfrak{q}$-Painlevé equations
• The $\mathcal{N}=2$ Prepotential and the Sphere Free Energy
• Aspects of Massive Gauge Theories on Three Sphere in Infinite Mass Limit
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• Flavored ABJM theory on the sphere and holographic F-functions
• Mass deformed ABJM and $\mathcal{P}\mathcal{T}$ symmetry
• Supersymmetry Breaking Phase in Three Dimensional Large N Gauge Theories
• Undecidability in Spacetime Geometry via the AdS/CFT Correspondence