Temperature in the Throat

TL;DR

This paper investigates the thermal properties of rotating probe D-branes in string theory, revealing how horizons and temperatures emerge in various holographic backgrounds, including warped Calabi-Yau throats and conformal limits.

Contribution

It demonstrates that probe D-branes can develop horizons and temperatures without bulk black holes, influenced by throat deformation, warping, and background gauge fields, extending understanding of holographic thermal phenomena.

Findings

Probe D1-branes exhibit horizons with Hawking temperatures in warped Calabi-Yau backgrounds.

World volume black hole nucleation depends on throat deformation and warping.

Background gauge fields modify induced metrics and introduce multiple black hole solutions.

Abstract

We study the temperature of extended objects in string theory. Rotating probe D-branes admit horizons and temperatures a la Unruh effect. We find that the induced metrics on slow rotating probe D1-branes in holographic string solutions including warped Calabi-Yau throats have distinct thermal horizons with characteristic Hawking temperatures even if there is no black hole in the bulk Calabi-Yau. Taking the UV/IR limits of the solution, we show that the world volume black hole nucleation depends on the deformation and the warping of the throat. We find that world volume horizons and temperatures of expected features form not in the regular confining IR region but in the singular nonconfining UV solution. In the conformal limit of the UV, we find horizons and temperatures similar to those on rotating probes in the AdS throat found in the literature. In this case, we also find that activating a background gauge field form the U(1) R--symmetry modifies the induced metric with its temperature describing two different classes of black hole solutions.