Agenda de l’IDP

Séminaire de Physique Théorique

Towards the Turaev-Viro amplitudes from a Hamiltonian constraint
Maïté Dupius (Université de Waterloo, Canada)
Thursday 05 February 2015 14:00 -  Tours -  Salle 1180 (Bât E2)

Résumé :
I will show how the usual Loop Quantum Gravity phase space can be deformed to characterize hyperbolic discrete geometries and thus be a candidate to describe the discretization of SU(2) BF theory with a (negative) cosmological constant. The quantization of this model will then give at the kinematical level, an Hilbert space spanned by spin networks built on Uq(su(2)) (with q real). I will also build an Hamiltonian constraint and show that the Turaev-Viro amplitude with q real is a solution of the quantum Hamiltonian. This model is therefore a natural candidate to describe 3D loop quantum gravity with a (negative) cosmological constant.

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