Mathematical Physics Seminar
Monday 10.V.2010
Time: 16:00-17:00
Room: 0089
Instytut Matematyki, ul. Łojasiewicza 6, 30-348 Kraków
Bernd Schroers
(Heriot-Watt University, Edinburgh, UK)
Galilean quantum gravity in 2+1 dimensions
Abstract:
In 2+1 dimensions, the idea that quantum gravity is related to deformations of Poincaré
symmetry and to noncommutative spacetime geometry can be made precise in the
framework of a direct, Hamiltonian quantisation of the Chern-Simons formulation of
(2+1)-dimensional gravity. I will review this framework and the basic mathematical
notions underlying it, and then apply it to a little-studied regime of quantum gravity:
the limit where the speed of light is infinite, but Planck's constant and Newton's
constant take finite values. Somewhat surprisingly, the noncommutative geometry of
space-time in this limit is related to the harmonic oscillator algebra or, equivalently,
the Nappi-Witten Lie algebra.
Reference:
G. Papageorgiou, B.J. Schroers: "A Chern-Simons approach to Galilean quantum
gravity in 2+1 dimensions",
arXiv:0907.2880v2
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