2020/07/31 by Gourav Banerjee, Sudip Karan, Binata Panda
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole thermodynamics #Cosmology and Gravitation Theories #Covariant transformation #Einstein #Entropy (arrow of time) #Heat kernel #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Supergravity #Supersymmetry #hep-th
paper · pdf · doi:10.1007/jhep01(2021)090
published as Journal of High Energy Physics 01(2021)090 · Version published in JHEP
openalex created_date 2020/07/29 · openalex publication_date 2021/01/18 · arxiv created 2021/01/19 · arxiv updated 2021/01/20 · openalex updated_date 2026/08/05
A bstract We study one-loop covariant effective action of “non-minimally coupled” N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 1, d = 4 Einstein-Maxwell supergravity theory by heat kernel tool. By fluctuating the fields around the classical background, we study the functional determinant of Laplacian differential operator following Seeley-DeWitt technique of heat kernel expansion in proper time. We then compute the Seeley-DeWitt coefficients obtained through the expansion. A particular Seeley-DeWitt coefficient is used for determining the logarithmic correction to Bekenstein-Hawking entropy of extremal black holes using quantum entropy function formalism. We thus determine the logarithmic correction to the entropy of Kerr-Newman, Kerr and Reissner-Nordström black holes in “non-minimally coupled” N <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 1, d = 4 Einstein-Maxwell supergravity theory.