Non-Spherical Horizons, I

Abstract

We formulate an extension of Maldacena's AdS/CFT conjectures to the case of branes located at singular points in the ambient transverse space. For singularities which occur at finite distance in the moduli space of M or F theory models with spacetime-filling branes, the conjectures identify the worldvolume theory on the p-branes with a compactification of M or IIB theory on $Ad{S}_{p+2}\times H^{D-p-2}$. We show how the singularity determines the horizon H, and demonstrate the relationship between global symmetries on the worldvolume and gauge symmetries in the AdS model. As a first application, we study some singularities relevant to the D3-branes required in four-dimensional F-theory. For these we are able to explicitly derive the low-energy field theory on the worldvolume and compare its properties to predictions from the dual AdS model. In particular, we examine the baryon spectra of the models and the fate of the Abelian factors in the gauge group.

84 pages, numerous figures, harvmac; version 3 has minor corrections, a terminology change and an added acknowledgement

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• Non-Higgsable abelian gauge symmetry and F-theory on fiber products of rational elliptic surfaces
• Direct generation of a Majorana mass for the Neutron from Exotic Instantons
• A strong coupling expansion for N=4 SYM theory and other SCFT's
• Neutron Majorana mass from Exotic Instantons in a Pati-Salam model
• Observations on the Space of Four Dimensional String and $M$ theory Vacua
• Gauge-String Dualities and Some Applications