English

On $\mathrm{SQED}_{3}$ and $\mathrm{SQCD}_{3}$: phase transitions and integrability

High Energy Physics - Theory 2019-10-02 v1 Mathematical Physics math.MP

Abstract

We study supersymmetric Yang-Mills theories on the three-sphere, with massive matter and Fayet-Iliopoulos parameter, showing second order phase transitions for the non-Abelian theory, extending a previous result for the Abelian theory. We study both partition functions and Wilson loops and also discuss the case of different RR-charges. Two interpretations of the partition function as eigenfunctions of the A1A_{1} and free AN1A_{N-1} hyperbolic Calogero-Moser integrable model are given as well.

Keywords

Cite

@article{arxiv.1906.09917,
  title  = {On $\mathrm{SQED}_{3}$ and $\mathrm{SQCD}_{3}$: phase transitions and integrability},
  author = {Leonardo Santilli and Miguel Tierz},
  journal= {arXiv preprint arXiv:1906.09917},
  year   = {2019}
}

Comments

11 pages, 5 figures

R2 v1 2026-06-23T10:01:52.130Z