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Trialities of minimally supersymmetric 2d gauge theories

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We study dynamics of two-dimensional N $$ \mathcal{N} $$ = (0 , 1) supersymmetric gauge theories. In particular, we propose that there is an infrared triality between certain triples of… Click to show full abstract

We study dynamics of two-dimensional N $$ \mathcal{N} $$ = (0 , 1) supersymmetric gauge theories. In particular, we propose that there is an infrared triality between certain triples of theories with orthogonal and symplectic gauge groups. The proposal is supported by matching of anomalies and elliptic genera. This triality can be viewed as a (0 , 1) counterpart of the (0 , 2) triality proposed earlier by two of the authors and A. Gadde. We also describe the relation between global anomalies in gauge theoretic and sigma-model descriptions, filling in a gap in the present literature.

Keywords: gauge; minimally supersymmetric; supersymmetric gauge; trialities minimally; triality; gauge theories

Journal Title: Journal of High Energy Physics
Year Published: 2019

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