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SUMMARY:Heavy States in 3d Gravity and 2d CFT - David Grabovsky\, UCSB
DTSTART:20240315T150000Z
DTEND:20240315T160000Z
UID:TALK213325@talks.cam.ac.uk
CONTACT:Jackson Fliss
DESCRIPTION:We discuss correlators of light probe fields in heavy excited 
 states in AdS3 gravity and holographic 2d CFTs. In the bulk\, the propagat
 or of free fields in backgrounds containing a conical defect or a BTZ blac
 k hole can be obtained by solving the wave equation\, as well as by the me
 thod of images. On the boundary\, these geometries are sourced by heavy op
 erator insertions\, and the propagator is dual to a HHLL correlator. By ma
 tching its expansion in Virasoro blocks to our bulk results\, we determine
  the OPE coefficients of all contributing states in both the s and t chann
 els. In the s channel\, these states are excitations of the light field on
  top of the heavy state\; their OPE coefficients are the amplitudes to cre
 ate them. Meanwhile\, t-channel OPE is dominated by the Virasoro vacuum bl
 ock\, but there is also an infinite family of light two-particle states th
 at contribute to the regular part of the OPE. The OPE coefficients that co
 uple these states to the heavy operators represent their expectation value
 s in heavy backgrounds. We determine them exactly\, give an asymptotic for
 mula at large twist\, and discuss their behavior near and above the BTZ th
 reshold\, where they become thermal one-point functions.
LOCATION:MR13
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