Chiral Symmetry Breaking with non-SUSY D7-branes in ISD backgrounds

TL;DR

This paper introduces a novel method for constructing non-BPS D7-brane solutions in ISD backgrounds, demonstrating chiral symmetry breaking and Goldstone bosons in a holographic QCD context.

Contribution

It generalizes the kappa-symmetry condition to non-BPS D7-branes, enabling new solutions that exhibit chiral symmetry breaking in non-supersymmetric backgrounds.

Findings

Discovered a new D7-anti D7-brane configuration in the Klebanov-Strassler background.

Showed spontaneous chiral symmetry breaking with associated Goldstone bosons.

Compared the setup with the Sakai-Sugimoto model and discussed QCD applications.

Abstract

Supersymmetric probe branes satisfy the kappa-symmetry condition which ensures that the action is minimized with respect to both variations of the embedding and of the world-volume gauge field. We observe that the kappa-symmetry condition for a D7-brane in an imaginary self-dual (ISD) background can be generalized yielding minimization of the action with respect to variations of the gauge field only but not of the embedding. This provides a new way to construct non-BPS solutions for D7-branes once the embedding extremizes the geometrical volume of the brane. We then apply this method to the Klebanov-Strassler background and find a new D7-anti D7-brane configuration that realizes the spontaneous breaking of flavor chiral symmetry as evidenced by the Goldstone boson identified in the spectrum. This result generalizes our previous construction for the Klebanov-Witten model. We compare our setup with the Sakai-Sugimoto model and discuss possible applications to QCD-like physics.