Discrete series of representations for the modular double of U_q(sl(2,R))

Details Discrete series of representations for the modular double of U_q(sl(2,R)) Discrete series of representations for the modular double of U_q(sl(2,R))

2007-12-17

arxiv.org/abs/0712.2747v4

Mathematics

Quantum Algebra

8 pages, no figures

Scientific paper

Modular double of quantum group U_q (sl(2)) with deformation parameter q=e^{i\pi\tau} is a natural object explicitly taking into account the duality \tau -> 1/\tau. The use of the modular double in CFT allows to consider the region 1

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