XXVI DAE-BRNS High Energy Physics Symposium 2024

The Phase Diagram of AdS5 Black Holes with Four Derivative Corrections

Not scheduled

20m

Swatantrata Bhavan, Banaras Hindu University, Varanasi

Oral Formal theory

Speaker

Debabrata Sahu (Indian Institute Of Technology (IIT) Bhubaneswar)

Description

Motivated by recent studies of supersymmetric black holes, we revisit the phase diagram of both non-BPS and BPS $Ad{S}_5$ black holes in grand canonical ensemble using recently constructed four derivative effective action. In the universal two derivative theory, for non-BPS $Ad{S}_5$ black holes, three distinct limits exist where the phase diagrams change qualitatively. In the sub critical electric potential limit ( $0\le \mathrm{\Phi }<\sqrt{3}$ ), the phase diagrams resemble those of Schwarzschild black holes, featuring branches for small and large black holes, with the latter undergoing a Hawking-Page (HP) transition. Considering the four derivative ($\alpha$) corrections to be small, the Schwarzschild-like behavior remains intact. For temperatures below $T_{HP}$, $\alpha$ corrections destabilize both small and large black holes; however, for temperatures above $T_{HP}$, they continue to destabilize the small black hole while stabilizing the large one. In the critical electric potential limit ($\mathrm{\Phi }=\sqrt{3}$), only large black holes with negative Gibbs free energy exists, with no HP transition occurring and $\alpha$ corrections stabilize these large black holes. In the maximum angular velocity limit ($\mathrm{\Omega }=1$), only small black holes with positive Gibbs free energy exist, and $\alpha$ corrections destabilize them. Finally we present four derivative corrected phase diagram of BPS $Ad{S}_5$ black holes with ${\phi }^{\prime }=0$. The two derivative BPS phase diagram are Schwarzschild kind, hence as expected the effect of $\alpha$ corrections are similar to sub critical electric potential limit of non-BPS $Ad{S}_5$ black holes.