2024/10/31 by Jinwei Chu, Chu, Jinwei
Engineering · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Vibration and Dynamic Analysis
paper · pdf · doi:10.48550/arxiv.2410.23597
openalex publication_date 2024/10/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss the transition between black strings and fundamental strings in the presence of a compact dimension, \mathbbS1z. In particular, we study the Horowitz-Polchinski effective field theory in ℝd×\mathbbS1z, with a reduction on the Euclidean time circle \mathbbSτ1. 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 ℝd×\mathbbS1τ×\mathbbS1z Euclidean spacetime.