Some Information for Assembling Space
APA
Czech, B. (2015). Some Information for Assembling Space. Perimeter Institute. https://pirsa.org/15030122
MLA
Czech, Bartek. Some Information for Assembling Space. Perimeter Institute, Mar. 18, 2015, https://pirsa.org/15030122
BibTex
@misc{ pirsa_PIRSA:15030122, doi = {10.48660/15030122}, url = {https://pirsa.org/15030122}, author = {Czech, Bartek}, keywords = {Other}, language = {en}, title = {Some Information for Assembling Space}, publisher = {Perimeter Institute}, year = {2015}, month = {mar}, note = {PIRSA:15030122 see, \url{https://pirsa.org}} }
In holographic duality a gravitational spacetime emerges as an equivalent description of a lower-dimensional conformal field theory (CFT) living on the asymptotic boundary. Traditionally, the dimension not present in the CFT is interpreted in terms of its Renormalisation Group flow. In this talk I exploit the relation between boundary entanglement entropies and bulk minimal surfaces to define a quantitative framework for the holographic Renormalisation Group, in which quantum information theory plays a fundamental role. I will provide operational, quantitative, information-theoretic characterizations of several geometric concepts in asymptotically AdS3 spacetimes, including the radial direction and lengths of bulk curves.
Perhaps the biggest conceptual benefit of the information-theoretic framework for holographic Renormalisation Group is a quantitative correspondence between holography and the Multi-Scale Entanglement Renormalisation Ansatz (MERA). I also discuss prospects for understanding the near-horizon structure of black holes.