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arXiv · hep-th/0512218

Bulk Singularities and the Effective Cosmological Constant for Higher Co-dimension Branes

Andrew J. Tolley·C. P. Burgess·D. Hoover·Y. Aghababaie
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Abstract

We study a general configuration of parallel branes having co-dimension >2 situated inside a compact d-dimensional bulk space within the framework of a scalar and flux field coupled to gravity in D dimensions, such as arises in the bosonic part of some D-dimensional supergravities. A general relation is derived which relates the induced curvature of the observable noncompact n dimensions to the asymptotic behaviour of the bulk fields near the brane positions. For compactifications down to n = D-d dimensions we explicitly solve the bulk field equations to obtain the near-brane asymptotics, and by so doing relate the n-dimensional induced curvature to physical near-brane properties. In the special case where the bulk geometry remains nonsingular (or only conically singular) at the brane positions our analysis shows that the resulting n dimensions must be flat. As an application of these results we specialize to n=4 and D=6 and derive a new class of solutions to chiral 6D supergravity for which the noncompact 4 dimensions have de Sitter or anti-de Sitter geometry.

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Andrew J. Tolley, C. P. Burgess, D. Hoover, Y. Aghababaie. 2005-12-19. Bulk Singularities and the Effective Cosmological Constant for Higher Co-dimension Branes. https://doi.org/10.1088/1126-6708%2F2006%2F03%2F091

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