Exact thermal correlators of holographic \(CFT\)s

We compute the exact retarded Green's functions in thermal \(CFT\)s with chemical potential and angular momenta using holography respectively. We consider the field equations satisfied by the quasi-normal modes in both charged and rotating black holes in \(AdS\) spacetime and mapped them to the...

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Bibliographic Details
Published inarXiv.org
Main Authors Bhatta, Atanu, Mandal, Taniya
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 24.02.2023
Subjects
Black holes
Boundary conditions
Chemical potential
Correlation
Correlators
Field theory
Gauge theory
Green's functions
Holography
Singularity (mathematics)
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Summary:We compute the exact retarded Green's functions in thermal \(CFT\)s with chemical potential and angular momenta using holography respectively. We consider the field equations satisfied by the quasi-normal modes in both charged and rotating black holes in \(AdS\) spacetime and mapped them to the Heun equations by appropriate changes of variables. The AGT correspondence allows us to find the connection formulae among the solutions of the Heun equations near different singularities by using the crossing relations of the five-point correlators in the Liouville \(CFT\). The connection formulae associated with the boundary conditions imposed on the bulk field equations yield the exact thermal correlators in the boundary \(CFT\).
ISSN:2331-8422
DOI:10.48550/arxiv.2211.02449