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arXiv · 1906.09917

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

Leonardo Santilli·Miguel Tierz
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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 $R$-charges. Two interpretations of the partition function as eigenfunctions of the $A_{1} $ and free $A_{N-1}$ hyperbolic Calogero-Moser integrable model are given as well.

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Leonardo Santilli, Miguel Tierz. 2019-06-24. On $\mathrm{SQED}_{3}$ and $\mathrm{SQCD}_{3}$: phase transitions and integrability. https://doi.org/10.1103/physrevd.100.061702

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