Trialities of minimally supersymmetric 2d gauge theories. (English) Zbl 1436.83085
Summary: We study dynamics of two-dimensional \(\mathcal{N} = (0, 1)\) 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.
MSC:
| 83E30 | String and superstring theories in gravitational theory |
| 81T50 | Anomalies in quantum field theory |
| 81T60 | Supersymmetric field theories in quantum mechanics |
Keywords:
anomalies in field and string theories; supersymmetric gauge theory; supersymmetry and duality; sigma modelsReferences:
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