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

· 2007 · math.QA · DOI 10.48550/arxiv.0712.2747 · arXiv 0712.2747

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abstract

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<c<25 for the central charge of the Virasoro algebra when |\tau|=1. In this paper a new discrete series of representations for the modular double of U_q (sl(2,R)) is found for such \tau.

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math-ph 1

years

2024 1

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REJECT 1

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Ruijsenaars spectral transform

math-ph · 2024-11-29 · reject · novelty 6.0

The Ruijsenaars spectral transform, a many-variable Fourier generalization, is claimed to have an inversion formula for complex parameters and to be unitary in four parameter regimes.

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  • Ruijsenaars spectral transform math-ph · 2024-11-29 · reject · none · ref 15 · internal anchor

    The Ruijsenaars spectral transform, a many-variable Fourier generalization, is claimed to have an inversion formula for complex parameters and to be unitary in four parameter regimes.