Measures of entanglement and ER-EPR relation
Holography provides a non-perturbative definition of quantum gravity in backgrounds that are asymptotic to anti-de Sitter space in terms of a unitary quantum field theory on the conformal boundary. It provides a concrete setup to perform well-defined calculations in quantum field theory in order to answer long-standing puzzles in quantum gravity, such as the fate of evaporating black holes and the information they contain. The challenge is to actually carry out this program, and it has become clear that questions pertaining to beyond the horizon physics as well as time dependent phenomena bring us to the edge of our understanding of holography.
It is therefore important to examine the foundations of holography, not only in order to resolve the kind of questions mentioned above, but also in order to extend the lessons learned in holography beyond the realm of asymptotically anti-de Sitter space. A fresh approach is provided by focusing on the role entanglement and the organization of quantum information play in holography.
I am interested in carrying out exact calculations in theories such as N=4 SYM, or in 2D CFT, that can be compared to gravity in the limit of large central charge, but that can be extrapolated beyond the classical regime. I am also intersted in the ER-EPR relation of Maldacena Susskind.
It is therefore important to examine the foundations of holography, not only in order to resolve the kind of questions mentioned above, but also in order to extend the lessons learned in holography beyond the realm of asymptotically anti-de Sitter space. A fresh approach is provided by focusing on the role entanglement and the organization of quantum information play in holography.
I am interested in carrying out exact calculations in theories such as N=4 SYM, or in 2D CFT, that can be compared to gravity in the limit of large central charge, but that can be extrapolated beyond the classical regime. I am also intersted in the ER-EPR relation of Maldacena Susskind.
