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PIRSA:19040121

Video URL

https://pirsa.org/19040121

Higher-Order Relative Entropy and Subregion Complexity in the AdS Black Hole Background

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

Kevin Grosvenor University of Würzburg

Talk numberPIRSA:19040121
DOI10.48660/19040121
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

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.