Entropy Function for Non-extremal D1D5 and D2D6NS5-branes

TL;DR

This paper uses the entropy function formalism to compute the entropy and higher derivative corrections for non-extremal D-brane configurations, revealing that such corrections lower the entropy without affecting temperature.

Contribution

It applies the entropy function formalism to non-extremal D1D5 and D2D6NS5-branes, providing explicit calculations of entropy and ' corrections.

Findings

Higher derivative terms decrease the entropy.

Temperature remains unaffected by ' corrections.

Explicit entropy values at the saddle point.

Abstract

We apply the entropy function formalism to non-extremal D1D5 and D2D6NS5-branes whose throat approximation is given by the Schwarzschild black hole in AdS_3\times S^3\times T^4 and AdS_3\times S^2\times S^1\times T^4, respectively. We find the Bekenstein-Hawking entropy and the (alpha')^3R^4 corrections from the value of the entropy function at its saddle point. While the higher derivative terms have no effect on the temperature, they decrease the value of the entropy.