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
Arnaudo, Paolo
a6e295d1-c920-4996-a871-eb0534654e49
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
27 June 2025
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).
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
Text
8n3f-2d33
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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
ISSN: 2470-0037
PURE UUID: 76f31bec-8e4e-4443-92e7-028560748f0b
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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
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