Notes on \widetildeSL(2,ℝ) representations

2017/11/22 by Alexei Kitaev, Kitaev, Alexei · 1 voice · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Holomorphic and Operator Theory #Mathematical Approximation and Integration #Mathematical Physics (math-ph) #hep-th #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1711.08169

v2: small corrections; clarification in Section 6

openalex publication_date 2017/11/22 · arxiv created 2018/08/21 · arxiv updated 2018/08/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

These notes describe representations of the universal cover of SL(2,ℝ) with a view toward applications in physics. Spinors on the hyperbolic plane and the two-dimensional anti-de Sitter space are also discussed.

Citations

• Irreducible Unitary Representations of the Lorentz Group

Cited by

• The Worldsheet Dual of the Symmetric Product CFT

Discussions

• I'm following this paper , and I'm having a problem in the normalization of the continuous eigenfunctions (eqs. (67)-(70)), which satisfy \begin{equation} \langle f_s|f_{s'}\rangle = \int_{0}^{1} \fra [stackexchange, 1 points]

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