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On marginally deformed meson spectroscopy

✍ Scribed by S. Penati; M. Pirrone; C. Ratti

Book ID
105357713
Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
165 KB
Volume
56
Category
Article
ISSN
0015-8208

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✦ Synopsis

Abstract

We 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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