Infinite Lorentz boost along the M-theory circle and non-asymptotically flat solutions in supergravities

TL;DR

This paper explores how infinite Lorentz boosts along the M-theory circle generate non-asymptotically flat, supersymmetric solutions in supergravity, linking them to black hole models and dualities in string theory.

Contribution

It demonstrates the derivation of non-asymptotically flat supergravity solutions via infinite boosts and dualities, connecting them to black hole descriptions in lower dimensions.

Findings

Non-asymptotically flat solutions can be obtained from boosted D-particles.

T-duality relates these solutions to intersecting D-branes.

S-duality connects solutions to (1+1)-dimensional CGHS black holes.

Abstract

Certain non-asymptotically flat but supersymmetric classical solution of the type IIA supergravity can be interpreted as the infinitely-boosted version of the D-particle solution along the M-theory circle. By a chain of T-dual transformations, this analysis also applies to yield non-asymptotically flat solutions from the asymptotically flat and (non)-extremal solutions with intersecting D-strings and D five-branes of the type IIB supergravity compactified on a five-torus. Under S-duality, the non-asymptotically flat solutions in this context can in particular be used to describe the (1+1)-dimensional CGHS type black holes via spontaneous compactifications.