3-Branes and Uniqueness of the Salam-Sezgin Vacuum

TL;DR

This paper proves the uniqueness of the Salam-Sezgin vacuum solution in supergravity and constructs the most general axial symmetric solutions, including those with 3-branes of negative tension, expanding understanding of these models.

Contribution

It establishes the uniqueness of the Salam-Sezgin vacuum and constructs the general axial symmetric solutions, including non-singular and brane configurations.

Findings

Proved the uniqueness of the Salam-Sezgin vacuum among nonsingular solutions.

Constructed the most general axial symmetric solutions with internal space distortions.

Identified solutions interpreted as 3-branes with negative tension.

Abstract

We prove the uniqueness of the supersymmetric Salam-Sezgin (Minkowski)_4\times S^2 ground state among all nonsingular solutions with a four-dimensional Poincare, de Sitter or anti-de Sitter symmetry. We construct the most general solutions with an axial symmetry in the two-dimensional internal space, and show that included amongst these is a family that is non-singular away from a conical defect at one pole of a distorted 2-sphere. These solutions admit the interpretation of 3-branes with negative tension.