English

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

High Energy Physics - Theory 2018-08-23 v2 Mathematical Physics math.MP

Abstract

These notes describe representations of the universal cover of SL(2,R)\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.

Keywords

Cite

@article{arxiv.1711.08169,
  title  = {Notes on $\widetilde{\mathrm{SL}}(2,\mathbb{R})$ representations},
  author = {Alexei Kitaev},
  journal= {arXiv preprint arXiv:1711.08169},
  year   = {2018}
}

Comments

v2: small corrections; clarification in Section 6

R2 v1 2026-06-22T22:53:40.722Z