Notes on $\widetilde{\mathrm{SL}}(2,\mathbb{R})$ representations

Abstract

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

v2: small corrections; clarification in Section 6

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