PIRSA:10020027

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_10020027,
            doi = {},
            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}}
          }
          

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.