# The U(N) structure of Loop Quantum Gravity

### APA

Livine, E. (2010). The U(N) structure of Loop Quantum Gravity. Perimeter Institute. https://pirsa.org/10020027

### MLA

Livine, Etera. The U(N) structure of Loop Quantum Gravity. Perimeter Institute, Feb. 16, 2010, https://pirsa.org/10020027

### BibTex

@misc{ pirsa_PIRSA:10020027, doi = {10.48660/10020027}, url = {https://pirsa.org/10020027}, author = {Livine, Etera}, keywords = {Quantum Gravity}, language = {en}, title = {The U(N) structure of Loop Quantum Gravity}, publisher = {Perimeter Institute}, year = {2010}, month = {feb}, note = {PIRSA:10020027 see, \url{https://pirsa.org}} }

French National Centre for Scientific Research (CNRS)

**Collection**

Talk Type

**Subject**

Abstract

It has recently uncovered that the intertwiner space for LQG carries a natural representation of the U(N) unitary group. I will describe this U(N) action in details and show how it can be used to compute the LQG black hole entropy, to define coherent intertwiner states and to reformulate the LQG dynamics in new terms.