BPS D3-branes on smooth ALE manifolds

Abstract

In this talk I review the recent construction of a new family of classical BPS solutions of type IIB supergravity describing 3-branes transverse to a 6-dimensional space with topology ${\mathbb{R}}^2\times$ALE. They are characterized by a non-trivial flux of the supergravity 2-forms through the homology 2-cycles of a generic smooth ALE manifold. These solutions have two Killing spinors and thus preserve $\mathcal{N}=2$ supersymmetry. They are expressed in terms of a quasi harmonic function $H$ (the ``warp factor''), whose properties was studied in detail in the case of the simplest ALE, namely the Eguchi-Hanson manifold. The equation for $H$ was identified as an instance of the confluent Heun equation.

Talk given at the Conference "New Trends in Particle Physics", September 2001, Yalta, Ukraina

References in corpus (5)

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• A note on the holographic interpretation of string theory backgrounds with varying flux
• Gravity Duals of Fractional Branes in Various Dimensions
• D-instanton probes of N=2 non-conformal geometries
• Gaugings and other supergravity tools of p-brane physics