BMS transformed Quantum String Dynamics near a Black Hole

TL;DR

This paper investigates how BMS supertranslations affect string dynamics near a five-dimensional black hole horizon, revealing signatures of asymptotic symmetries in the string's angular and radial behavior.

Contribution

It demonstrates that BMS-induced deformations produce observable effects in string propagation, especially in angular spreading and radial propagation near black hole horizons.

Findings

Angular sector exhibits symmetry breaking from SO(4) to a distorted geometry.

Radial modes follow modified Bessel functions with conserved currents.

String spreading near the horizon encodes BMS symmetry signatures.

Abstract

Asymptotic symmetries are expected to leave subtle but physically meaningful imprints on quantum probes of gravity, yet their manifestation in near-horizon dynamics remains incompletely understood. We examine this question for a closed bosonic string propagating in the near-horizon geometry of a five-dimensional Schwarzschild black hole subjected to a generalized Bondi-van der Burg-Metzner-Sachs (BMS) supertranslation. The extended nature of the string makes it especially sensitive to the resulting anisotropic geometric distortions, and this sensitivity appears most clearly in the angular sector of the worldsheet dynamics. Under the gauge and falloff conditions adopted here, the temporal and radial sectors remain unaffected by the supertranslation, while the angular deformation breaks the original SO(4) symmetry of the background. The radial equation is governed by modified Bessel modes, with a nonvanishing radial conserved current, indicating transport-like propagation. Radial squeezing driven by gravity and anisotropic angular spreading induced by supertranslations provide a dynamical realization of string spreading near the horizon. Thus this analysis demonstrates that probe string dynamics encodes nontrivial signatures of BMS-induced deformations, providing a dynamical probe of symmetry structures in higher-dimensional black hole spacetimes.