Large-$N$ limit of two-dimensional Yang--Mills theory with four supercharges

Abstract

We study the two-dimensional Yang--Mills theory with four supercharges in the large-$N$ limit. By using thermal boundary conditions, we analyze the internal energy and the distribution of scalars. We compare their behavior to the maximally supersymmetric case with sixteen supercharges, which is known to admit a holographic interpretation. Our lattice results for the scalar distribution show no visible dependence on $N$ and the energy at strong coupling appears independent of temperature.

8 pages, 3 figures, talk given at the 38th International Symposium on Lattice Field Theory (LATTICE2021), 26th-30th July 2021, Zoom/Gather@Massachusetts Institute of Technology

References in corpus (4)

• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Geometry of Orbifolded Supersymmetric Lattice Gauge Theories
• Lattice study of two-dimensional N=(2,2) super Yang-Mills at large-N
• Parallel software for lattice N=4 supersymmetric Yang--Mills theory

Cited by in corpus (3)

• Lattice studies of supersymmetric gauge theories
• Lattice perturbation theory for the null cusp string
• Nonperturbative phase diagram of two-dimensional $\mathcal{N}=(2,2)$ super-Yang--Mills