Nonperturbative phase diagram of two-dimensional $\mathcal{N}=(2,2)$ super-Yang-Mills theory

Journal Article · 13 September 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.110.054507 · OSTI ID:2440935

Dhindsa, Navdeep Singh ; Jha, Raghav G. ; Joseph, Anosh ; Schaich, David

We consider two-dimensional $\mathcal{N}=(2,2)$ Yang-Mills theory with gauge group $\mathrm{SU}\left(N\right)$ in Euclidean signature compactified on a torus with thermal fermion boundary conditions imposed on one cycle. We perform nonperturbative lattice analyses of this theory for large $12\le N\le 20$ . Although no holographic dual of this theory is yet known, we conduct numerical investigations to check for features similar to the two-dimensional $\mathcal{N}=(8,8)$ Yang–Mills theory, which has a well-defined gravity dual. We perform lattice field theory calculations to determine the phase diagram, observing a spatial deconfinement transition similar to the maximally supersymmetric case. However, the transition does not continue to low temperature, implying the absence of a topology-changing transition between black hole geometries in any holographic dual for this four-supercharge theory. Published by the American Physical Society 2024

• Sponsoring Organization: USDOE
• Grant/Contract Number: AC05-06OR23177; SC0012704
• OSTI ID: 2440935
• Journal Information: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 5 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010
• Publisher: American Physical SocietyCopyright Statement
• Country of Publication: United States
• Language: English