PIRSA:19040121 Scientific Series Quantum Fields and Strings

DOI10.48660/19040121

Series: Quantum Fields and Strings

Grosvenor, K. (2019). Higher-Order Relative Entropy and Subregion Complexity in the AdS Black Hole Background. Perimeter Institute. https://pirsa.org/19040121

Grosvenor, Kevin. Higher-Order Relative Entropy and Subregion Complexity in the AdS Black Hole Background. Perimeter Institute, Apr. 15, 2019, https://pirsa.org/19040121 

@misc{ pirsa_PIRSA:19040121,
  doi = {10.48660/19040121},
  url = {https://pirsa.org/19040121},
  author = {Grosvenor, Kevin},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Higher-Order Relative Entropy and Subregion Complexity in the AdS Black Hole Background},
  publisher = {Perimeter Institute},
  year = {2019},
  month = {apr},
  note = {PIRSA:19040121 see, \url{https://pirsa.org}}
}

Abstract

I will discuss the computation of second-order terms in the entanglement entropy and subregion complexity for a spherical entangling region in the AdS black hole background relative to pure AdS. I will suggest an extension of the conjectured relationship between subregion complexity and Fisher information into a relation that is reminiscent of the first law of thermodynamics. By analogy, entanglement and complexity play the roles of heat and work, respectively. Time permitting, I will also discuss the computation of third- and fourth-order terms in the relative entropy. 

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