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Chern-Simons Theory, Flat Connections and 4d Quantum Geometry

Nov 19
4:00 pm o'clock to 5:00 pm o'clock
SR 02.729

This talk explains the relation between a class of flat connections on a 3-manifold and the constant curvature simplicial geometries in 4-dimensions. The quantization of 4d simplicial geometry can be carried out via the quantization of flat connection on 3-manifold. Such a procedure gives a relation between quantum SL(2,C) Chern-Simons theory on 3-manifold and Loop Quantum Gravity on 4-manifold.