Quantum group symmetry and particle scattering in (2+1)-dimensional quantum gravity

F. A. Bais, N. M. Muller, B. J. Schroers

Research output: Contribution to journalArticle

56 Citations (Scopus)

Abstract

Starting with the Chern–Simons formulation of (2+1)-dimensional gravity we show that the gravitational interactions deform the Poincaré symmetry of flat spacetime to a quantum group symmetry. The relevant quantum group is the quantum double of the universal cover of the (2+1)-dimensional Lorentz group, or Lorentz double for short. We construct the Hilbert space of two gravitating particles and use the universal R-matrix of the Lorentz double to derive a general expression for the scattering cross section of gravitating particles with spin. In appropriate limits our formula reproduces the semi-classical scattering formulae found by 't Hooft, Deser, Jackiw and de Sousa Gerbert.
Original languageEnglish
Pages (from-to)3-45
Number of pages43
JournalNuclear Physics B
Volume640
Issue number1-2
DOIs
Publication statusPublished - 23 Sep 2002

Keywords

  • 2+1 DIMENSIONAL GRAVITY
  • 2-PARTICLE SCATTERING
  • CLASSICAL SCATTERING
  • FIELD-THEORY
  • REPRESENTATIONS
  • STATISTICS
  • SPIN

Fingerprint Dive into the research topics of 'Quantum group symmetry and particle scattering in (2+1)-dimensional quantum gravity'. Together they form a unique fingerprint.

  • Cite this