PIRSA:14030107

Exact holographic mapping and emergent space-time geometry

Qi, X. (2014). Exact holographic mapping and emergent space-time geometry. Perimeter Institute. https://pirsa.org/14030107

Qi, Xiaoliang. Exact holographic mapping and emergent space-time geometry. Perimeter Institute, Mar. 11, 2014, https://pirsa.org/14030107 

          @misc{ pirsa_PIRSA:14030107,
            doi = {10.48660/14030107},
            url = {https://pirsa.org/14030107},
            author = {Qi, Xiaoliang},
            keywords = {Condensed Matter},
            language = {en},
            title = {Exact holographic mapping and emergent space-time geometry},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {mar},
            note = {PIRSA:14030107 see, \url{https://pirsa.org}}
          }

Xiaoliang Qi Stanford University

Talk numberPIRSA:14030107
DOI10.48660/14030107
Collection
Talk Type Scientific Series
Subject

Abstract

Holographic duality is a duality between quantum many-body systems (boundary) and gravity systems with one additional spatial dimension (bulk). In this talk, I will describe a new approach to holographic duality for lattice systems, called the exact holographic mapping. The key idea of this approach can be summarized by two points: 1) The bulk theory is nothing but the boundary theory viewed in a different basis. 2) Space-time geometry is determined by the structure of correlations and quantum entanglement in a quantum state. For free fermion boundary theories, I will show how different bulk geometries including AdS space, black holes and worm-holes emerge. I will also discuss the generalization of this approach in more generic interacting systems.