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


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Article Info

DATE

2010-11

AUTHORS

G. Papageorgiou, B. J. Schroers

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. More... »

PAGES

20

References to SciGraph publications

  • 1996-01. Combinatorial quantization of the Hamiltonian Chern-Simons theory II in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2001. Combinatorial quantization of Euclidean gravity in three dimensions in QUANTIZATION OF SINGULAR SYMPLECTIC QUOTIENTS
  • 1992-11. Poisson-Lie groups. The quantum duality principle and the twisted quantum double in THEORETICAL AND MATHEMATICAL PHYSICS
  • 2000-01-19. More D-branes in the Nappi-Witten background in JOURNAL OF HIGH ENERGY PHYSICS
  • 2002-06-14. Non-relativistic anyons, exotic Galilean symmetry and noncommutative plane in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-11-04. A Chern-Simons approach to Galilean quantum gravity in 2+1 dimensions in JOURNAL OF HIGH ENERGY PHYSICS
  • 2007-08. Geometrical (2+1)-Gravity and the Chern-Simons Formulation: Grafting, Dehn Twists, Wilson Loop Observables and the Cosmological Constant in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1995-09. Combinatorial quantization of the Hamiltonian Chern-Simons theory I in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Journal

    TITLE

    Journal of High Energy Physics

    ISSUE

    11

    VOLUME

    2010

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep11(2010)020

    DOI

    http://dx.doi.org/10.1007/jhep11(2010)020

    DIMENSIONS

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