“A Stereoscopic Look into the Bulk,” by Lampros Lamprou (Stanford University)

Tuesday, March 29, 2016 - 4:00pm to 5:00pm
TEP Seminars

TEP Seminar

Physics and Astronomy Building (PAB) Room 4-330
Tuesday, March 29, 2016

Guest Speaker: Lampros Lamprou (Stanford University)

Talk Title: “A Stereoscopic Look into the Bulk"


What natural CFT quantities can “see” in the interior of the bulk in a diffeomorphism invariant way? And how can we use them to learn about geometry and local bulk physics? To answer these questions we will construct a class of simple non-local operators on both sides of the duality and demonstrate their equivalence. On the CFT side, these non-local operators are identified with what we will call “OPE blocks”: individual conformal family contributions to the OPE of local operators. In AdS, they are represented, at leading order in N, as integrals of bulk fields along geodesics/minimal Surfaces --- a construction reminiscent of the Ryu-Takayanagi relation. Our findings add a new entry to the holographic dictionary whose potential we will exemplify via a number of applications. We will utilize it to revisit the CFT reconstruction of local bulk operators and illustrate how various independent AdS/CFT results, i.e. conformal blocks from geodesic Witten diagrams, linearized Einstein's equations from 1st law of entanglement entropy, readily follow from our formalism. Of pivotal importance in our construction is the idea of kinematic space and the tools of integral geometry.

Event Attachments: 
PAB 4-330