U(N) Intertwiners and the Grassmannian, Part 1 - Polyhedra in Loop Quantum Gravity, May 20, 2021
Channel: Deepak Vaid
Date: 21/05/2021

This is the first in a series of lectures introducing U(N) coherent states which describe semiclassical states of geometry corresponding to a classical polyhedra with N faces.

In this first part I explain the basic ideas behind the geometry of a tetrahedron and general polyhedra in the framework of Loop Quantum Gravity. I briefly discuss the general idea behind coherent states and also the invariant part of the irreducible representations of the intertwiner Hilbert space.

May 20, 2021