Supersymmetry and the Modular Double
Abstract
A counterpart of the modular double for quantum superalgebra $\cU_q(\osp(1|2))$ is constructed by means of supersymmetric quantum mechanics. We also construct the $R$-matrix operator acting in the corresponding representations, which is expressed via quantum dilogarithm.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2013
- DOI:
- 10.48550/arXiv.1304.6787
- arXiv:
- arXiv:1304.6787
- Bibcode:
- 2013arXiv1304.6787C
- Keywords:
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- Mathematics - Representation Theory;
- High Energy Physics - Theory;
- Mathematical Physics;
- Mathematics - Quantum Algebra
- E-Print:
- 21 pages