PIRSA:16070055

Modular hamiltonians in 2d CFT

APA

Cardy, J. (2016). Modular hamiltonians in 2d CFT. Perimeter Institute. https://pirsa.org/16070055

MLA

Cardy, John. Modular hamiltonians in 2d CFT. Perimeter Institute, Jul. 28, 2016, https://pirsa.org/16070055

BibTex

          @misc{ pirsa_PIRSA:16070055,
            doi = {10.48660/16070055},
            url = {https://pirsa.org/16070055},
            author = {Cardy, John},
            keywords = {Quantum Fields and Strings, Quantum Gravity, Quantum Information},
            language = {en},
            title = {Modular hamiltonians in 2d CFT},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {jul},
            note = {PIRSA:16070055 see, \url{https://pirsa.org}}
          }
          

John Cardy University of California, Berkeley

Abstract

I enumerate the cases in 2d CFT when the modular hamiltonian (log of the reduced density matrix) may be written as an appropriate integral over the energy-momentum tensor times a local weight. This includes known examples as well as new time-dependent ones. In all these cases the entanglement spectrum is that of an appropriate boundary CFT. I point out the obstruction to the existence of such a result for more complicated bipartitions of the space. This is joint work with Erik Tonni