A Comment on the Zamolodchikov c-Function and the Black String Entropy

TL;DR

This paper explores the relationship between the Zamolodchikov c-function and black string entropy in type IIB string theory, using spectral methods and the Maldacena conjecture to compare with Bekenstein-Hawking entropy.

Contribution

It introduces a spectral representation approach to the c-function and applies it to compute string entropy, providing a novel link between conformal field theory and black string thermodynamics.

Findings

Computed string entropy matches Bekenstein-Hawking entropy up to a numerical constant.

Validated the spectral approach for entropy calculation in string theory.

Supported the Maldacena conjecture through entropy comparison.

Abstract

Using the spectral representation approach to the Zamolodchikov's c-function and the Maldacena conjecture for the D1-branes, we compute the entropy of type IIB strings. An agreement, up to a numerical constant which cannot be determined using this approach, with the Bekenstein-Hawking entropy is found.