Exact Bulk Operators and the Fate of Locality
Disentangling the spacetime behind the horizon
at Polder (De Paardenstal), http://www.cafe-restaurantpolder.nl
Exact Bulk Operators and the Fate of Locality
Abstract: We recently used Virasoro symmetry considerations to propose an exact formula for a bulk proto-field φ in AdS3. In this talk we will explain the construction and study the propagator <φφ>. Many techniques from the study of conformal blocks can be generalized to compute it, and when the results are expanded at large central charge, they match gravitational perturbation theory for a free scalar field coupled to gravity in Fefferman-Graham gauge. Although the propagator appears to be local to all orders in perturbation theory, we explicitly compute non-perturbative effects in G ~ 1/c that spell the breakdown of bulk locality: the commutator (or retarded propagator) is non-vanishing at small spacelike separations.
Disentangling the spacetime behind the horizon
Abstract: Within the framework of AdS/CFT, it is believed that disentangling two sets of degrees of freedom is dual to pulling apart the corresponding (dual) regions of spacetime. This situation becomes particularly clear when considering the Thermofield double state (TFD) and its dual interpretation, the eternal black hole. In this talk I will consider simple modifications of the TFD state and explore quantitatively how this is reflected in the Wightman function in such a state. I will show how the Eigenstate Thermalization Hypothesis (ETH) offers great insight and simplifies the problem considerably. I will finish by discussing the possible implications for the dual geometry.
Diego Hofman (Amsterdam)
Umut Gursoy (Utrecht)
Koenraad Schalm (Leiden)
Kyriakos Papadodimas (Groningen)
This event is part of a regular series of meetings sponsored by Delta ITP with the objective of bringing together the theoretical physics communities in Amsterdam, Leiden, Utrecht and our sister nodes Groningen, Brussels (ULB and VUB) and Leuven. The topic of this meeting is holography and its applications to different physical systems. We encourage researchers from different areas in theoretical physics to participate!