Abstract
We study one-loop covariant effective action of “non-minimally coupled” \( \mathcal{N} \) = 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” \( \mathcal{N} \) = 1, d = 4 Einstein-Maxwell supergravity theory.
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Banerjee, G., Karan, S. & Panda, B. Logarithmic correction to the entropy of extremal black holes in \( \mathcal{N} \) = 1 Einstein-Maxwell supergravity. J. High Energ. Phys. 2021, 90 (2021). https://doi.org/10.1007/JHEP01(2021)090
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DOI: https://doi.org/10.1007/JHEP01(2021)090