Quantum Phase Transitions in Mass-Deformed ABJM Matrix Model

Abstract

When mass-deformed ABJM theory is considered on S(3), the partition function of the theory localises and is given by a matrix model. We solve this model at large-N in the decompactification limit, where the radius of the three-sphere is taken to infinity. In this limit, the theory exhibits a rich phase structure with an infinite number of third-order quantum phase transitions accumulating at strong coupling.

25 pages, 9 figures; v2: references added; v3: comment on massless model added

References in corpus (26)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• Towards the F-Theorem: N=2 Field Theories on the Three-Sphere
• The Exact Superconformal R-Symmetry Extremizes Z
• From weak to strong coupling in ABJM theory
• Notes on SUSY Gauge Theories on Three-Sphere
• Chern-Simons theory, matrix integrals, and perturbative three-manifold invariants
• Nonperturbative aspects of ABJM theory
• Matrix Model as a Mirror of Chern-Simons Theory
• Nonperturbative Tests of Three-Dimensional Dualities
• Summing Up All Genus Free Energy of ABJM Matrix Model
• Exact results for the entanglement entropy and the energy radiated by a quark
• The Holography of F-maximization
• Calculating the partition function of N=2 Gauge theories on $S^3$ and AdS/CFT correspondence
• Massive N=2 Gauge Theories at Large N
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• The large N limit of M2-branes on Lens spaces
• The Spectral Curve of the Lens Space Matrix Model
• On Large N Solution of ABJM Theory
• Operator Counting and Eigenvalue Distributions for 3D Supersymmetric Gauge Theories
• Large N Free Energy of 3d N=4 SCFTs and AdS/CFT
• Eigenvalue Distributions in Matrix Models for Chern-Simons-matter Theories
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Cited by in corpus (23)

• Probing non-perturbative effects in M-theory
• Instanton effects in ABJM theory with general R-charge assignments
• Partition Functions of Superconformal Chern-Simons Theories from Fermi Gas Approach
• N=2* Super-Yang-Mills Theory at Strong Coupling
• Supersymmetric $U(N)$ Chern-Simons-matter theory and phase transitions
• Large N behavior of mass deformed ABJM theory
• ABJM Theory with mass and FI deformations and Quantum Phase Transitions
• N = 2* Phase Transitions and Holography
• Phases of planar 5-dimensional supersymmetric Chern-Simons theory
• Mass Deformed ABJM Theory on Three Sphere in Large N limit
• Exact Holography of the Mass-deformed M2-brane Theory
• Phases of five-dimensional supersymmetric gauge theories
• Matrix models for 5d super Yang-Mills
• Mass-deformed ABJM Theory and LLM Geometries: Exact Holography
• Phase transitions and Wilson loops in antisymmetric representations in Chern-Simons-matter theory
• Exact partition function in $U(2)\times U(2)$ ABJM theory deformed by mass and Fayet-Iliopoulos terms
• Identification of Bulk coupling constant in Higher Spin/ABJ correspondence
• More Large $N$ limits of 3d gauge theories
• Aspects of Massive Gauge Theories on Three Sphere in Infinite Mass Limit
• Duality Cascades and Affine Weyl Groups
• Mass deformed ABJM and $\mathcal{P}\mathcal{T}$ symmetry
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• Mass-deformed ABJ and ABJM theory, Meixner-Pollaczek polynomials, and $su(1,1)$ oscillators