Multi-Flux Warped Throats and Cascading Gauge Theories
Sebastian Franco, Amihay Hanany, Angel M. Uranga

TL;DR
This paper explores duality cascades and their infrared behavior in gauge theories from D3-branes at complex cone singularities, showing how strong IR dynamics smooth out singularities and produce multi-scale warped throat geometries.
Contribution
It introduces new duality cascade solutions for complex cone singularities, including irrational R-charge cases, and links gauge theory IR dynamics to supergravity throat geometries.
Findings
Infrared deformations lead to smooth geometries from singular initial setups.
Explicit duality cascades constructed for irrational R-charge theories.
Multi-scale warped throats with multiple radial regions described.
Abstract
We describe duality cascades and their infrared behavior for systems of D3-branes at singularities given by complex cones over del Pezzo surfaces (and related examples), in the presence of fractional branes. From the gauge field theory viewpoint, we show that D3-branes probing the infrared theory have a quantum deformed moduli space, given by a complex deformation of the initial geometry to a simpler one. This implies that for the dual supergravity viewpoint, the gauge theory strong infrared dynamics smoothes out the naked singularities of the recently constructed warped throat solutions with 3-form fluxes, describing the cascading RG flow of the gauge theory. This behavior thus generalizes the Klebanov-Strassler deformation of the conifold. We describe several explicit examples, including models with several scales of strong gauge dynamics. In the regime of widely separated scales, the…
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