Asymptotics of the eprl model on arbitrary vertices
APA
Speziale, S. (2020). Asymptotics of the eprl model on arbitrary vertices. Perimeter Institute. https://pirsa.org/20050020
MLA
Speziale, Simone. Asymptotics of the eprl model on arbitrary vertices. Perimeter Institute, May. 14, 2020, https://pirsa.org/20050020
BibTex
@misc{ pirsa_PIRSA:20050020, doi = {10.48660/20050020}, url = {https://pirsa.org/20050020}, author = {Speziale, Simone}, keywords = {Quantum Gravity}, language = {en}, title = {Asymptotics of the eprl model on arbitrary vertices}, publisher = {Perimeter Institute}, year = {2020}, month = {may}, note = {PIRSA:20050020 see, \url{https://pirsa.org}} }
We introduce a new technique to study the critical point equations of the eprl model. We show that it correctly reproduces the 4-simplex asymptotics, and how to apply it to an arbitrary vertex. We find that for general vertices, the asymptotics can be linked to a Regge action for polytopes, but contain also more general geometries, called conformal twisted geometries. We present explicit examples including the hypercube, and discuss implications.