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**Harvard**

Bertolini, M., Campos, V., Ferretti, G., Fre, P., Salomonson, P. och Trigiante, M. (2001) *Supersymmetric 3-branes on smooth ALE manifolds with flux*.

** BibTeX **

@article{

Bertolini2001,

author={Bertolini, Matteo and Campos, Vanicson and Ferretti, Gabriele and Fre, Pietro and Salomonson, Per and Trigiante, Mario},

title={Supersymmetric 3-branes on smooth ALE manifolds with flux},

journal={Nuclear Physics},

volume={B},

issue={617},

pages={3},

abstract={We construct a new family of classical BPS solutions of type IIB supergravity describing 3-branes transverse to a 6-dimensional space with topology R^2*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. Our solutions have two Killing spinors and thus preserve N=2 supersymmetry. They are expressed in terms of a quasi harmonic function H (the ``warp factor''), whose properties we study in the case of the simplest ALE, namely the Eguchi-Hanson manifold. The equation for H is identified as an instance of the confluent Heun equation. We write explicit power series solutions and solve the recurrence relation for the coefficients, discussing also the relevant asymptotic expansions. While, as in all such N=2 solutions, supergravity breaks down near the brane, the smoothing out of the vacuum geometry has the effect that the warp factor is regular in a region near the cycle. We interpret the behavior of the warp factor as describing a three-brane charge ``smeared'' over the cycle and consider the asymptotic form of the geometry in that region, showing that conformal invariance is broken even when the complex type IIB 3-form field strength is assumed to vanish. We conclude with a discussion of the basic features of the gauge theory dual.
},

year={2001},

keywords={Branes, fluxes, ALE},

}

** RefWorks **

RT Journal Article

SR Print

ID 2471

A1 Bertolini, Matteo

A1 Campos, Vanicson

A1 Ferretti, Gabriele

A1 Fre, Pietro

A1 Salomonson, Per

A1 Trigiante, Mario

T1 Supersymmetric 3-branes on smooth ALE manifolds with flux

YR 2001

JF Nuclear Physics

VO B

IS 617

AB We construct a new family of classical BPS solutions of type IIB supergravity describing 3-branes transverse to a 6-dimensional space with topology R^2*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. Our solutions have two Killing spinors and thus preserve N=2 supersymmetry. They are expressed in terms of a quasi harmonic function H (the ``warp factor''), whose properties we study in the case of the simplest ALE, namely the Eguchi-Hanson manifold. The equation for H is identified as an instance of the confluent Heun equation. We write explicit power series solutions and solve the recurrence relation for the coefficients, discussing also the relevant asymptotic expansions. While, as in all such N=2 solutions, supergravity breaks down near the brane, the smoothing out of the vacuum geometry has the effect that the warp factor is regular in a region near the cycle. We interpret the behavior of the warp factor as describing a three-brane charge ``smeared'' over the cycle and consider the asymptotic form of the geometry in that region, showing that conformal invariance is broken even when the complex type IIB 3-form field strength is assumed to vanish. We conclude with a discussion of the basic features of the gauge theory dual.

LA eng

OL 30