Supergravity and a confining gauge theory: duality cascades and χSB-resolution of naked singularities

Abstract

We revisit the singular IIB supergravity solution describing M fractional 3branes on the conifold [hep-th/0002159]. Its 5-form flux decreases, which we explain by showing that the relevant N = 1 SUSY SU (N +M )×SU (N ) gauge theory undergoes repeated Seiberg-duality transformations in which N → N − M . Far in the IR the gauge theory confines; its chiral symmetry breaking removes the singularity of hep-th/0002159 by deforming the conifold. We propose a non-singular pure-supergravity background dual to the field theory on all scales, with small curvature everywhere if the 't Hooft coupling g s M is large. In the UV it approaches that of hep-th/0002159, incorporating the logarithmic flow of couplings. In the IR the deformation of the conifold gives a geometrical realization of chiral symmetry breaking and confinement. We suggest that pure N = 1 Yang-Mills may be dual to strings propagating at small g s M on a warped deformed conifold. We note also that the standard model itself may lie at the base of a duality cascade.

New results on superconformal quivers

“…The recently discovered non Abelian extension [27] holds in the infinite coupling limit. 11 We observe that this condition is invariant under Seiberg Duality, if it holds in a point of the Duality Tree it holds in all the Duality Tree.…”

“…We remark that in general there can be loops in this tree. 6 These loops give the possibility of engineering Duality Cascades of the Klebanov-Strassler type [11,26,33].…”

“…We note that of the 2-dimensional kernel only one vector (N 1 , N 2 , N 3 , N 4 ) gives rise to a superconformal theory. The other vector takes the theory away from the conformal point and can be used to study duality cascades of the Klebanov-Strassler type [11,28,26]. Instead of describing in detail the quite involved simultaneous solution of the equations (3.1), (5.3), (5.4), (5.5) we just give the results in the next paragraph.…”

One ring to rule them all and in the darkness bind them?

“…When more than one dipole charge is present, the Maxwell fields sourced by the dipole branes give rise to dissolved brane charges, much like in the Klebanov-Strassler solution [12]. Hence, the harmonic functions appearing in the metric receive a contribution both from the actual charge densities on the ring (which may vary along the ring), and from charges "dissolved" in the dipole fields.…”

Lumps in the throat

“…The next question therefore is to ask whether the U(1) dz-fibration would change or not. Here we can take a cue from the Klebanov-Strassler solution [21] and the geometrical transition set-up of [38]. The U(1) fibrations in both set-ups remain the same.…”