Kavli Affiliate: Hirosi Ooguri
| First 5 Authors: Nathan Benjamin, Jaeha Lee, Hirosi Ooguri, David Simmons-Duffin,
| Summary:
Equilibrium finite temperature observables of a CFT can be described by a
local effective action for background fields — a "thermal effective action."
This effective action determines the asymptotic density of states of a CFT as a
detailed function of dimension and spin. We discuss subleading perturbative and
nonperturbative corrections to the density, comparing with free and holographic
examples. We furthermore show how to use the thermal effective action on more
complicated geometries at special locations called "hot spots." The hot spot
idea makes a prediction for a CFT partition function on a higher-dimensional
version of a genus-2 Riemann surface, in a particular high temperature limit.
By decomposing the partition function into a novel higher-dimensional version
of genus-2 conformal blocks (which we compute at large scaling dimension), we
extract the asymptotic density of heavy-heavy-heavy OPE coefficients in a
higher-dimensional CFT. We also compute asymptotics of thermal 1-point
functions using the same techniques.
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