PSI 2017/2018 - Quantum Gravity (Dupuis)

Strings vs Loops.

Guest speakers: M. Geiller on TQFT, B. Dittrich on non-locality in gravity, H Haggard on black holes in LQG.

Spinfoam models.

4D Loop Quantum Gravity.

Flatness constraint - Physical Hilbert space.

Kinematical Hilbert space for a graph - Gauss constraint - spinnetwork states.

Kinematical Hilbert space for one edge - Length operator. 

Conjugated variables: fluxes - Poisson algebra

Choice of basic variables - Configuration variables: holonomies.

Canonical analysis of 3D gravity first order action - Interpretation of constraints - Constraint algebra.

First order formulation of 3D gravity - Canonical analysis.

Dirac quantization of the parametrized particle - 3D gravity.