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PIRSA:17070066

Video URL

https://pirsa.org/17070066

Gapped phases of matter vs. Topological field theories

          @misc{ scivideos_PIRSA:17070066,
            doi = {10.48660/17070066},
            url = {https://pirsa.org/17070066},
            author = {Gaiotto, Davide},
            keywords = {Quantum Foundations, Quantum Information},
            language = {en},
            title = {Gapped phases of matter vs. Topological field theories},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2017},
            month = {jul},
            note = {PIRSA:17070066 see, \url{https://scivideos.org/pirsa/17070066}}
          }

Davide Gaiotto Perimeter Institute for Theoretical Physics

Talk numberPIRSA:17070066
DOI10.48660/17070066
Source RepositoryPIRSA
Collection
Talk Type Conference
Subject

Abstract

I will discuss the relation between topological field theories and gapped phases of matter. I will propose a general formalism to define a class of TFTs which can be realized by commuting projector Hamiltonians. This allows one to apply rigorous mathematical theorems about TFTs to gapped phases of matter. I will also discuss the role of generalized cohomology theories and spectra in the classification of SPT phases.