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.

21 pages

References in corpus (3)

• Super Liouville conformal blocks from N=2 SU(2) quiver gauge theories
• Gauge Theories on ALE Space and Super Liouville Correlation Functions
• Positive Representations of Split Real Simply-laced Quantum Groups

Cited by in corpus (2)

• From Quantum Groups to Liouville and Dilaton Quantum Gravity
• Q-operator and fusion relations for $C_q^{(2)}(2)$