New D1-D5-P geometries from string amplitudes

TL;DR

This paper derives supergravity fields from string amplitudes for D1-D5-P bound states, showing they differ from black hole solutions by multipole moments and are valid in a broader parameter regime.

Contribution

It introduces a method to compute long-range supergravity fields from string amplitudes, revealing more general solutions than classical black holes for D1-D5-P states.

Findings

Supergravity fields derived from string amplitudes differ from classical black holes by multipole moments.

The asymptotic fields are valid even where classical black hole solutions exist.

Supports the idea that black holes are coarse-grained descriptions, not exact solutions.

Abstract

We derive the long range supergravity fields sourced by a D1-D5-P bound state from disk amplitudes for massless closed string emission. We suggest that since the parameter controlling the string perturbation expansion for this calculation decreases with distance from the bound state, the resulting asymptotic fields are valid even in the regime of parameters in which there is a classical black hole solution with the same charges. The supergravity fields differ from the black hole solution by multipole moments and are more general than those contained within known classes of solutions in the literature, whilst still preserving four supersymmetries. Our results support the conjecture that the black hole solution should be interpreted as a coarse-grained description rather than an exact description of the gravitational field sourced by D1-D5-P bound states in this regime of parameters.