Logarithmic correction to scaling for multi-spin strings in the AdS_5 black hole background

TL;DR

This paper discovers new multi-spin string solutions in the $AdS_5$ black hole background, revealing a logarithmic correction to the energy-spin scaling in the long string and high temperature limit, extending previous one-spin results.

Contribution

It introduces explicit multi-spin string solutions in $AdS_5$ black hole spacetime with logarithmic energy-spin corrections, advancing understanding of string dynamics in black hole backgrounds.

Findings

Logarithmic correction to energy-spin scaling in high temperature limit

Explicit solutions for multi-spin strings in $AdS_5$ black hole

Strings orbiting black hole with specific winding and folding patterns

Abstract

We find new explicit solutions describing closed strings spinning with equal angular momentum in two independent planes in the $AdS_5$ black hole spacetime. These are $2n$ folded strings in the radial direction and also winding $m$ times around an angular direction. We especially consider these solutions in the long string and high temperature limit, where it is shown that there is a logarithmic correction to the scaling between energy and spin. This is similar to the one-spin case. The strings are spinning, or actually orbiting around the black hole of the $AdS_5$ black hole spacetime, similarly to solutions previously found in black hole spacetimes.