Logarithmic correction to the entropy of extremal black holes in N = 1 Einstein-Maxwell supergravity
Abstract
We study one-loop covariant effective action of "non-minimally coupled" N = 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 = 1, d = 4 Einstein-Maxwell supergravity theory.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- January 2021
- DOI:
- 10.1007/JHEP01(2021)090
- arXiv:
- arXiv:2007.11497
- Bibcode:
- 2021JHEP...01..090B
- Keywords:
-
- Black Holes;
- Black Holes in String Theory;
- Extended Supersymmetry;
- AdS-CFT Correspondence;
- High Energy Physics - Theory
- E-Print:
- Version published in JHEP