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Combinatorial quantization of (Super) Chern-Simons gravity

  • Juan Carlos Morales Parra
    • Heriot-Watt University

Event description

In the Chern-Simons formulation of (Super)gravity in 3 dimensions, the phase space corresponds to the moduli space of (Super)flat G-connections, where G is (Super)Lie group which depends on the signature of space-time and the cosmological constant. In the talk we will see how the canonical Poisson structure of this moduli space is given in terms of a classical (Super) r-matrix and discuss how quantum (Super) R-matrices provide its quantisation (e.g. the quantum double D(SU(2)) quantises Euclidean 3d gravity). (This talk is based on joint work with Bernd Schroers).

Combinatorial quantization of (Super) Chern-Simons gravity


Higgs Centre Seminar Room, JCMB (Find us on campus maps)
The Higgs Centre for Theoretical Physics
School of Physics and Astronomy
James Clerk Maxwell Building, 4305
Peter Guthrie Tait Road

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