Universal asymptotics for high energy CFT data

Benjamin, Nathan; Lee, Jaeha; Ooguri, Hirosi; Simmons-Duffin, David

doi:10.1007/jhep03(2024)115

Title: Universal asymptotics for high energy CFT data

Journal Article · 20 March 2024 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep03(2024)115 · OSTI ID:2479622

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California Institute of Technology (CalTech), Pasadena, CA (United States)
California Institute of Technology (CalTech), Pasadena, CA (United States); University of Tokyo, Kashiwa (Japan)

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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Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: Simons Foundation; USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0011632; SC0019085

OSTI ID:: 2479622

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 3 Vol. 2024; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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Operator Product Expansion Coefficients of the 3D Ising Criticality via Quantum Fuzzy Spheres Hu, Liangdong; He, Yin-Chen; Zhu, W. Physical Review Letters, Vol. 131, Issue 3 https://doi.org/10.1103/PhysRevLett.131.031601	journal	July 2023
EFT asymptotics: the growth of operator degeneracy Melia, Tom; Pal, Sridip SciPost Physics, Vol. 10, Issue 5 https://doi.org/10.21468/SciPostPhys.10.5.104	journal	January 2021
Proving the 6d Cardy formula and matching global gravitational anomalies Chang, Chi-Ming; Fluder, Martin; Lin, Ying-Hsuan SciPost Physics, Vol. 11, Issue 2 https://doi.org/10.21468/SciPostPhys.11.2.036	journal	August 2021
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Beurling-Selberg extremization and modular bootstrap at high energies Mukhametzhanov, Baurzhan; Pal, Sridip SciPost Physics, Vol. 8, Issue 6 https://doi.org/10.21468/SciPostPhys.8.6.088	journal	January 2020
Heavy operators and hydrodynamic tails Delacrétaz, Luca SciPost Physics, Vol. 9, Issue 3 https://doi.org/10.21468/SciPostPhys.9.3.034	journal	January 2020
Lectures on non-equilibrium effective field theories and fluctuating hydrodynamics Liu, Hong; Glorioso, Paolo Proceedings of Theoretical Advanced Study Institute Summer School 2017 "Physics at the Fundamental Frontier" — PoS(TASI2017) https://doi.org/10.22323/1.305.0008	conference	September 2018

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