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Supersymmetric 3-branes on smooth ALE manifolds with flux

Matteo Bertolini ; Vanicson Campos ; Gabriele Ferretti (Institutionen för teoretisk fysik och mekanik, Matematisk fysik) ; Pietro Fre ; Per Salomonson (Institutionen för teoretisk fysik och mekanik, Elementarpartikelfysik) ; Mario Trigiante
Nuclear Physics Vol. B (2001), 617, p. 3.
[Artikel, refereegranskad vetenskaplig]

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.

Nyckelord: Branes, fluxes, ALE

Denna post skapades 2006-08-25.
CPL Pubid: 2471


Institutioner (Chalmers)

Institutionen för teoretisk fysik och mekanik, Matematisk fysik (1900-2005)
Institutionen för teoretisk fysik och mekanik, Elementarpartikelfysik (1900-2005)



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