Abstract
We reviewed the field redefinition approach of Seeley-DeWitt expansion for the determination of Seeley-DeWitt coefficients from arXiv:1505.01156. We apply this approach to compute the first three Seeley-DeWitt coefficients for “non-minimal” mathcal{N} = 1 Einstein-Maxwell supergravity in four dimensions. Finally, we use the third coefficient for the computation of the logarithmic corrections to the Bekenstein-Hawking entropy of non-extremal black holes following arXiv:1205.0971. We determine the logarithmic corrections for non-extremal Kerr-Newman, Kerr, Reissner-Nordström and Schwarzschild black holes in “non-minimal” mathcal{N} = 1, d = 4 Einstein-Maxwell supergravity.
Highlights
We evaluated the coefficients for fermionic sector of “non-minimal” N = 1, d = 4 Einstein-Maxwell supergravity theory (EMSGT) introducing a particular field redefinition
We use a particular Seeley-DeWitt coefficient a4 to determine the logarithmic corrections to the Bekenstein-Hawking entropy of non-extremal black holes in “non-minimal” N = 1, d = 4 EMSGT
We applied the formalism for Kerr-Newman black hole background and evaluated the local contributions to logarithmic corrections by integrating a4 coefficient over the whole geometry of black hole background
Summary
We start with a general discussion of Seeley-DeWitt expansion of heat kernel to analyze the one-loop effective action in a 4D field theory. The working procedure evaluates the functional determinant of quadratic fluctuated action, which encapsulates all the information about the one-loop effective action. We present a brief review of the field redefinition approach of computation of Seeley-DeWitt coefficients from [12]
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
