PIRSA:16070055 Conference Quantum Fields and Strings Quantum Gravity Quantum Information

DOI10.48660/16070055

Conference/School: It from Qubit Summer School

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

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

@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}}
}

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

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