Galilean quantum gravity with cosmological constant and the extended q-Heisenberg algebra

G. Papageorgiou, B. J. Schroers

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

We define a theory of Galilean gravity in 2+1 dimensions with cosmological constant as a Chern-Simons gauge theory of the doubly-extended Newton-Hooke group, extending our previous study of classical and quantum gravity in 2+1 dimensions in the Galilean limit. We exhibit an r-matrix which is compatible with our Chern-Simons action (in a sense to be defined) and show that the associated bi-algebra structure of the Newton-Hooke Lie algebra is that of the classical double of the extended Heisenberg algebra. We deduce that, in the quantisation of the theory according to the combinatorial quantisation programme, much of the quantum theory is determined by the quantum double of the extended q-deformed Heisenberg algebra. © 2010 SISSA.

Original languageEnglish
JournalJournal of High Energy Physics
Volume2010
Issue number11
DOIs
Publication statusPublished - 2010

Keywords

  • Chern-simons theories
  • Gauge symmetry
  • Models of quantum gravity
  • Quantum groups

Fingerprint Dive into the research topics of 'Galilean quantum gravity with cosmological constant and the extended q-Heisenberg algebra'. Together they form a unique fingerprint.

  • Cite this