PIRSA:22060056

Minimax surfaces and the covariant holographic entropy cone

Grimaldi, G. (2022). Minimax surfaces and the covariant holographic entropy cone. Perimeter Institute. https://pirsa.org/22060056

Grimaldi, Guglielmo. Minimax surfaces and the covariant holographic entropy cone. Perimeter Institute, Jun. 22, 2022, https://pirsa.org/22060056 

          @misc{ pirsa_PIRSA:22060056,
            doi = {10.48660/22060056},
            url = {https://pirsa.org/22060056},
            author = {Grimaldi, Guglielmo},
            keywords = {Other},
            language = {en},
            title = {Minimax surfaces and the covariant holographic entropy cone},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {jun},
            note = {PIRSA:22060056 see, \url{https://pirsa.org}}
          }

Guglielmo Grimaldi

Brandeis University

Talk number
PIRSA:22060056
Collection
Talk Type
Subject
Abstract
I will discuss work-in-progress for defining a new proposal for the covariant holographic entanglement entropy. The proposal instructs us to find maximal spacelike codimension-2 surfaces on timelike hypersurfaces in the bulk, followed by a minimization among all possible hypersurfaces in the right homology class. We describe and prove various properties of such minimax surfaces, and argue for their equivalence with the more familiar HRT and maximin proposals. Finally, we give compelling reasons to be interested in yet another entanglement entropy proposal: minimax surfaces allow us to prove all higher entropy cone inequalities, showing that the RT and HRT holographic entropy cones are indeed equivalent.