Nonperturbative study of dynamical SUSY breaking in $\mathcal{N}=(2,2)$ Yang-Mills

Abstract

We examine the possibility of dynamical supersymmetry breaking in two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory. The theory is discretized on a Euclidean spacetime lattice using a supersymmetric lattice action. We compute the vacuum energy of the theory at finite temperature and take the zero temperature limit. Supersymmetry will be spontaneously broken in this theory if the measured ground state energy is non-zero. By performing simulations on a range of lattices up to $96\times 96$ we are able to perform a careful extrapolation to the continuum limit for a wide range of temperatures. Subsequent extrapolations to the zero temperature limit yield an upper bound on the ground state energy density. We find the energy density to be statistically consistent with zero in agreement with the absence of dynamical supersymmetry breaking in this theory.

7+2 pages including numerical data, 6 figures. v2 -- Added two references, minor changes to the text, results unchanged. Version accepted for publication in Physical Review D

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Cited by in corpus (12)

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• Elliptic genera of pure gauge theories in two dimensions with semisimple non-simply-connected gauge groups
• Lattice studies of supersymmetric gauge theories
• Supersymmetric Gauge Theory on the Graph
• Mass spectrum of $2$-dimensional $\mathcal{N}=(2,2)$ super Yang-Mills theory on the lattice
• Lattice study of supersymmetry breaking in N=2 supersymmetric quantum mechanics
• Large-$N$ limit of two-dimensional Yang--Mills theory with four supercharges
• $\mathcal{N}=1$ Super-Yang-Mills theory on the lattice with twisted mass fermions
• Probing Non-perturbative Supersymmetry Breaking through Lattice Path Integrals
• Nonperturbative phase diagram of two-dimensional $\mathcal{N}=(2,2)$ super-Yang--Mills