Mass deformed ABJM and $\mathcal{P}\mathcal{T}$ symmetry

Abstract

We consider real mass and FI deformations of ABJM theory preserving supersymmetry in the large $N$ limit, and compare with holographic results. On the field theory side, the problems amounts to a spectral problem of a non-Hermitian Hamiltonian. For certain values of the deformation parameters this is invariant under an antiunitary operator (generalised $\mathcal{P}\mathcal{T}$ symmetry), which ensures the partition function remains real and allows us to calculate the free energy using tools from statistical physics. The results obtained are compatible with previous work, the important new feature being that these are obtained directly from the real deformations, without analytic continuation.

21 pages, 3 figures

References in corpus (11)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Notes on SUSY Gauge Theories on Three-Sphere
• A Massive Study of M2-brane Proposals
• Exact ABJM Partition Function from TBA
• Instanton effects in ABJM theory with general R-charge assignments
• Spectral zeta function and non-perturbative effects in ABJM Fermi-gas
• Quantum Phase Transitions in Mass-Deformed ABJM Matrix Model
• Large N behavior of mass deformed ABJM theory
• ABJM Theory with mass and FI deformations and Quantum Phase Transitions
• 3d mirror symmetry as a canonical transformation
• Mass Deformed ABJM Theory on Three Sphere in Large N limit

Cited by in corpus (2)

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