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

Understand

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.