PIRSA:17070066

Gapped phases of matter vs. Topological field theories

APA

Gaiotto, D. (2017). Gapped phases of matter vs. Topological field theories. Perimeter Institute. https://pirsa.org/17070066

MLA

Gaiotto, Davide. Gapped phases of matter vs. Topological field theories. Perimeter Institute, Jul. 31, 2017, https://pirsa.org/17070066

BibTex

          @misc{ pirsa_17070066,
            doi = {},
            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},
            year = {2017},
            month = {jul},
            note = {PIRSA:17070066 see, \url{https://pirsa.org}}
          }
          

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.