Supersymmetry Breaking in a Large N Gauge Theory with Gravity Dual

Abstract

We study phase structure of mass-deformed ABJM theory which is a three dimensional $\mathcal{N}=6$ superconformal theory deformed by mass parameters and has the gauge group $\text{U}(N)\times \text{U}(N)$ with Chern-Simons levels $(k,-k)$ which may have a gravity dual. We discuss that the mass deformed ABJM theory on $S^3$ breaks supersymmetry in a large-$N$ limit if the mass is larger than a critical value. To see some evidence for this conjecture, we compute the partition function exactly, and numerically by using the Monte Carlo Simulation for small $N$. We discover that the partition function has zeroes as a function of the mass deformation parameters if $N\ge k$, which supports the large-$N$ supersymmetry breaking. We also find a solution to the large-$N$ saddle point equations, where the free energy is consistent with the finite $N$ result.

arXiv comment42 pages, 11 figures

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Cited by in corpus (7)

• SU(N) q-Toda equations from mass deformed ABJM theory
• Phase transitions and Wilson loops in antisymmetric representations in Chern-Simons-matter theory
• The $\mathcal{N}=2$ Prepotential and the Sphere Free Energy
• M2-branes and $\mathfrak{q}$-Painlevé equations
• Duality Cascades and Affine Weyl Groups
• 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