Footballs, Conical Singularities and the Liouville Equation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages, Refs. added, minor changes. Typo in eq. 4.3 corrected. Version to be published in PRD

Scientific paper

10.1103/PhysRevD.71.044006

We generalize the football shaped extra dimensions scenario to an arbitrary
number of branes. The problem is related to the solution of the Liouville
equation with singularities and explicit solutions are presented for the case
of three branes. The tensions of the branes do not need to be tuned with each
other but only satisfy mild global constraints.

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