Year: 2025
Type: article
Abstract: A bstract We discuss the transition between black strings and fundamental strings in the presence of a compact dimension, $$ {\mathbbm{S}}_z^1 $$ S z 1 . In particular, we study the Horowitz-Polchinski effective field theory in $$ {\mathbb{R}}^d\times {\mathbbm{S}}_z^1 $$ ℝ d × S z 1 , with a reduction on the Euclidean time circle $$ {\mathbbm{S}}_{\tau}^1 $$ S τ 1 . The classical solution of this theory describes a bound state of self-gravitating strings, known as a “string star”, in Lorentzian spacetime. By analyzing non-uniform perturbations to the uniform solution, we identify the critical mass at which the string star becomes unstable towards non-uniformity along the spatial circle (i.e., Gregory-Laflamme instability) and determine the order of the associated phase transition. For 3 ≤ d < 4, we argue that at the critical mass, the uniform string star can transition into a localized black hole. More generally, we describe the sequence of transitions from a large uniform black string as its mass decreases, depending on the value of d . Additionally, using the SL(2) k / U(1) model in string theory, we show that for sufficiently large d , the uniform black string is stable against non-uniformity before transitioning into fundamental strings. We also present a novel solution that exhibits double winding symmetry breaking in the asymptotically $$ {\mathbb{R}}^d\times {\mathbbm{S}}_{\tau}^1\times {\mathbbm{S}}_z^1 $$ ℝ d × S τ 1 × S z 1 Euclidean spacetime.
Source: Journal of High Energy Physics
Author: Jinwei Chu
Institution: University of Chicago
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funder: U.S. Department of Energy
OpenAlex ID: W4409345892