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Exact low-temperature Green’s functions in AdS/CFT: From the Heun equation to the confluent Heun equation

Exact low-temperature Green’s functions in AdS/CFT: From the Heun equation to the confluent Heun equation
Exact low-temperature Green’s functions in AdS/CFT: From the Heun equation to the confluent Heun equation
We obtain exact expressions for correlation functions of charged scalar operators at finite density and low temperature in CFT4 dual to the RN−AdS5 black-brane. We use recent developments in the Heun connection problem in black hole perturbation theory arising from Liouville conformal field theory (CFT) and the Alday-Gaiotto-Tachikawa correspondence. The connection problem is solved perturbatively in an instanton counting parameter, which is controlled in a double-scaling limit where
2470-0037
Arnaudo, Paolo
a6e295d1-c920-4996-a871-eb0534654e49
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
Arnaudo, Paolo
a6e295d1-c920-4996-a871-eb0534654e49
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9

Arnaudo, Paolo and Withers, Benjamin (2025) Exact low-temperature Green’s functions in AdS/CFT: From the Heun equation to the confluent Heun equation. Physical Review D, 111 (L121903). (doi:10.1103/8n3f-2d33).

Record type: Article

Abstract

We obtain exact expressions for correlation functions of charged scalar operators at finite density and low temperature in CFT4 dual to the RN−AdS5 black-brane. We use recent developments in the Heun connection problem in black hole perturbation theory arising from Liouville conformal field theory (CFT) and the Alday-Gaiotto-Tachikawa correspondence. The connection problem is solved perturbatively in an instanton counting parameter, which is controlled in a double-scaling limit where

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Accepted/In Press date: 10 June 2025
Published date: 27 June 2025

Identifiers

Local EPrints ID: 504083
URI: http://eprints.soton.ac.uk/id/eprint/504083
DOI: doi:10.1103/8n3f-2d33
ISSN: 2470-0037
PURE UUID: 76f31bec-8e4e-4443-92e7-028560748f0b
ORCID for Paolo Arnaudo: ORCID iD orcid.org/0000-0002-0154-7783
ORCID for Benjamin Withers: ORCID iD orcid.org/0000-0001-8490-9948

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Date deposited: 22 Aug 2025 16:49
Last modified: 23 Aug 2025 02:34

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Author: Paolo Arnaudo ORCID iD
Author: Benjamin Withers ORCID iD

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