Seeley-DeWitt coefficients in N = 2 Einstein-Maxwell supergravity theory and logarithmic corrections to N = 2 extremal black hole entropy

A bstract We investigate the heat kernel method for one-loop effective action following the Seeley-DeWitt expansion technique of heat kernel with Seeley-DeWitt coefficients. We also review a general approach of computing the Seeley-DeWitt coefficients in terms of background or geometric invariants....

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Bibliographic Details
Published in:The journal of high energy physics 2019-08, Vol.2019 (8), p.1-34
Main Authors: Karan, Sudip, Banerjee, Gourav, Panda, Binata
Format: Article
Language:English
Subjects:
Black holes
Classical and Quantum Gravitation
Elementary Particles
High energy physics
Kernels
Operators (mathematics)
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Supergravity
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Summary:A bstract We investigate the heat kernel method for one-loop effective action following the Seeley-DeWitt expansion technique of heat kernel with Seeley-DeWitt coefficients. We also review a general approach of computing the Seeley-DeWitt coefficients in terms of background or geometric invariants. We, then consider the Einstein-Maxwell theory em-bedded in minimal N = 2 supergravity in four dimensions and compute the first three Seeley-DeWitt coefficients of the kinetic operator of the bosonic and the fermionic fields in an arbitrary background field configuration. We find the applications of these results in the computation of logarithmic corrections to Bekenstein-Hawking entropy of the extremal Kerr-Newman, Kerr and Reissner-Nordström black holes in minimal N = 2 Einstein-Maxwell supergravity theory following the quantum entropy function formalism.
ISSN:1029-8479
DOI:10.1007/JHEP08(2019)056