Hairy strings

TL;DR

This paper investigates how zero modes of worldsheet spinors in closed strings influence bulk supergravity fields, revealing configurations with no multipole moments and others with specific dipole and quadrupole moments, with implications for black hole entropy and string duality.

Contribution

It provides a comprehensive analysis of how quantized spinor vevs affect higher order moments of bulk fields, identifying supersymmetric arrangements with vanishing multipole charges.

Findings

Supersymmetric configurations with no multipole moments.

Presence of NSNS and RR dipole and quadrupole moments in non-supersymmetric cases.

Implications for black hole entropy and string duality.

Abstract

Zero modes of the worldsheet spinors of a closed string can source higher order moments of the bulk supergravity fields. In this work, we analyze various configurations of closed strings focusing on the imprints of the quantized spinor vevs onto the tails of bulk fields. We identify supersymmetric arrangements for which all multipole charges vanish; while for others, we find that one is left with NSNS and RR dipole and quadrupole moments. Our analysis is exhaustive with respect to all the bosonic fields of the bulk and to all higher order moments. We comment on the relevance of these results to entropy computations of hairy black holes of a single charge or more, and to open/closed string duality.