Footballs, Conical Singularities and the Liouville Equation

Abstract

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.

arXiv comment15 pages, Refs. added, minor changes. Typo in eq. 4.3 corrected. Version to be published in PRD

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Cited by in corpus (14)

• Charting the Landscape of Modified Gravity
• Codimension-two branes in six-dimensional supergravity and the cosmological constant problem
• Exact Black Holes and Gravitational Shockwaves on Codimension-2 Branes
• The General Warped Solution with Conical Branes in Six-dimensional Supergravity
• Deviations From Newton's Law in Supersymmetric Large Extra Dimensions
• UV Sensitivity in Supersymmetric Large Extra Dimensions: The Ricci-flat Case
• Cosmological Evolution of a Purely Conical Codimension-2 Brane World
• MSLED, Neutrino Oscillations and the Cosmological Constant
• Black Holes on Thin 3-branes of Codimension-2 and their Extension into the Bulk
• Riemann-Hilbert treatment of Liouville theory on the torus
• Cosmology in Six Dimensions
• A Compact Codimension Two Braneworld with Precisely One Brane
• Wavefunctions on $S^2$ with flux and branes
• Codimension-2 black hole solutions on a thin 3-brane and their extension into the bulk