Metric of the multiply wound rotating string

TL;DR

The paper constructs the gravity description of a multiply wound string carrying momentum and maximal angular momentum by two routes: boosting a Kerr black hole and smearing a vibrating string within a chiral null model. It derives a consistent F1-P metric, then maps it via dualities to the D1-D5/NS5-F1 system, highlighting how maximal angular momentum (γ = 1) yields a smooth geometry without horizons. The work clarifies how microscopic multiwinding and macroscopic black-hole absorption pictures can be connected, and discusses the implications for low-energy excitations on a doughnut-shaped tube geometry. Overall, it provides a concrete bridge between microstate string configurations and macroscopic supergravity descriptions, with implications for information transfer and near-horizon physics.

Abstract

We consider a string wrapped many times around a compact circle in space, and let this string carry a right moving wave which imparts momentum and angular momentum to the string. The angular momentum causes the strands of the `multiwound' string to separate and cover the surface of a torus. We compute the supergravity solution for this string configuration. We map this solution by dualities to the D1-D5 system with angular momentum that has been recently studied. We discuss how constructing this multiwound string solution may help us to relate the microscopic and macroscopic pictures of black hole absorption.