Abstract
AbstractWe review the results of 0710.4292 [hep‐th] where we study the embedding of spacetime filling D7‐branes in β‐deformed backgrounds. This corresponds to flavoring β‐deformed 𝒩 = 4 super Yang–Mills. For the supersymmetric and the more general non‐supersymmetric three parameter deformations, we study quadratic fluctuations of a probe D7‐brane wrapped on a deformed three‐sphere, which correspond to mesonic configurations of the dual field theory. We manage to solve their equations exactly in the presence of a non‐trivial coupling between scalar and vector modes induced by the deformation. We find a mesonic mass spectrum which is discrete, with a mass gap and a Zeeman‐like splitting occurs.
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