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

2007/12/17 by L. D. Faddeev, Людвиг Дмитриевич Фаддеев, Faddeev, L. D. · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #hep-th #math.QA

paper · pdf · doi:10.48550/arxiv.0712.2747

8 pages, no figures

openalex publication_date 2007/12/17 · arxiv created 2008/04/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Modular double of quantum group U_q (sl(2)) with deformation parameter q=e^iπτ is a natural object explicitly taking into account the duality τ-> 1/τ. 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 |τ|=1. In this paper a new discrete series of representations for the modular double of U_q (sl(2,R)) is found for such τ.

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• Discrete Integrable Systems, Supersymmetric Quantum Mechanics, and Framed BPS States - I

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