Non-SUSY fractional branes

TL;DR

This paper explores non-supersymmetric deformations of fractional p-brane solutions in supergravity, revealing new throat geometries that maintain certain force-free properties and could serve as holographic models for SUSY-breaking gauge theories.

Contribution

It introduces a deformation of the superpotential for fractional branes that breaks supersymmetry while preserving force-free conditions, expanding the landscape of holographic backgrounds.

Findings

Deformation parameter breaks supersymmetry but preserves no-force condition.

New solutions share UV asymptotics with the Klebanov-Tseytlin solution.

Potential for these solutions to model cascading gauge theories with broken SUSY.

Abstract

We consider a simplified Ansatz for supergravity solutions describing fractional p-brane solutions (throat geometries supported by fluxes) for various p. For p=3 the Ansatz captures the Klebanov-Tseytlin (KT) solution. The equations of motion can be derived from an effective action by performing a dimensional reduction to a flat domain wall geometry in p+2 dimensions. We find an interesting deformation of the known superpotential defining the SUSY domain wall flow. The deformation parameter breaks supersymmetry but still preserves the property that a test Dp brane feels no force inside the throat. The new solutions come in two classes. Both classes have the same UV asymptotics as the KT solution and one class has also similar IR behavior, which makes them potentially interesting holographic backgrounds for studying cascading gauge theories with broken SUSY. We explain furthermore how the curved domain wall solutions of the same (p+2)-dimensional theories are expected to lift to new AdS compactifications of type IIA/B supergravity.