Large N behavior of mass deformed ABJM theory

Abstract

In this paper, using the localization technique we analyze the large N limit of the mass deformed Aharony-Bergman-Jafferis-Maldacena (ABJM) theory on the three sphere with a finite mass parameter and finite Chern-Simons levels. We find two different solutions of the saddle point equations in the large N limit. With these solutions we compute the free energy and find that there is a first order phase transition. Our results may predict a phase transition in the dual gravity theory.

25 pages,3 figures; v2: typos corrected, a comment on solution II added, footnotes added, references added

References in corpus (17)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Notes on SUSY Gauge Theories on Three-Sphere
• Gluon and Wilson loop TMDs for hadrons of spin $\le$ 1
• A Massive Study of M2-brane Proposals
• On M5-branes in N=6 Membrane Action
• The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
• From Rigid Supersymmetry to Twisted Holomorphic Theories
• Instanton effects in ABJM theory with general R-charge assignments
• M2-M5 Systems in N=6 Chern-Simons Theory
• Quantum Phase Transitions in Mass-Deformed ABJM Matrix Model
• ABJM Theory with mass and FI deformations and Quantum Phase Transitions
• 3d mirror symmetry as a canonical transformation
• Flowing to Higher Dimensions: A New Strongly-Coupled Phase on M2 Branes
• On Effective Action of Multiple M5-branes and ABJM Action

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• How to resum perturbative series in 3d N=2 Chern-Simons matter theories
• Mass Deformed ABJM Theory on Three Sphere in Large N limit
• The topological line of ABJ(M) theory
• Exact Holography of the Mass-deformed M2-brane Theory
• Mass-deformed ABJM Theory and LLM Geometries: Exact Holography
• Supersymmetry Breaking in a Large N Gauge Theory with Gravity Dual
• 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
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• Duality Cascades and Affine Weyl Groups
• Flavored ABJM theory on the sphere and holographic F-functions
• Aspects of Massive Gauge Theories on Three Sphere in Infinite Mass Limit
• Mass deformed ABJM and $\mathcal{P}\mathcal{T}$ symmetry
• Non-topological Vortex Configurations in the ABJM Model
• Supersymmetry Breaking Phase in Three Dimensional Large N Gauge Theories
• Deconstructing Deformed D-quivers
• First order framework for gauge k-vortices