3-Branes and Uniqueness of the Salam-Sezgin Vacuum

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex, 12 pages; typos corrected, discussion of brane tensions amended

Scientific paper

10.1016/j.physletb.2004.06.048

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.

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