On 1/2 BPS Solutions in M-theory

TL;DR

This paper investigates singular 1/2 BPS solutions in M-theory through superstar solutions and their plane wave limits, exploring boundary condition deformations and dimensional reductions to understand physically acceptable singular solutions.

Contribution

It introduces a method to analyze singular BPS solutions in M-theory via superstar solutions and their limits, providing insights into boundary deformations and compactifications.

Findings

Superstar solutions reveal how boundary conditions can be deformed to produce acceptable singularities.

Plane wave limits of superstar solutions offer insights into the structure of BPS solutions.

Dimensional reduction from 11D to 10D solutions connects M-theory solutions to string theory contexts.

Abstract

We study singular 1/2 BPS solutions in M-theory using 11-dimensional superstar solutions. The superstar solutions and their corresponding plane wave limits could give an insight how one may deform the boundary conditions to get singular, but still physically acceptable, solutions. Starting from M-theory solutions with an isometry, we will also study 10-dimensional solutions coming from these M-theory solutions compactified on a circle.