Scalar effective potential for D7 brane probes which break chiral symmetry
Riccardo Apreda; Johanna Erdmenger; Nick Evans
Журнал:
Journal of High Energy Physics
Дата:
2006-05-01
Аннотация:
We consider D7 brane probes embedded in deformed AdS<sub>5</sub> × S<sup>5</sup> supergravity backgrounds which are non-supersymmetric in the interior. In the context of the generalised AdS/CFT correspondence, these setups are dual to QCD-like theories with fundamental matter which display chiral symmetry breaking by a quark condensate. Evaluating the D7 action for a surface instanton configuration gives rise to an effective potential for the scalar Higgs vev in the dual field theory. We calculate this potential for two specific supergravity backgrounds. For a metric due to Constable and Myers, we find that the potential is asymptotically bounded by a 1/Q<sup>4</sup> behaviour and has a minimum at zero vev. For the Yang-Mills<sup>*</sup> background we find that the Higgs potential scales quadratically with the Higgs vev. This corresponds to a canonical mass term and the embedding is again stable.
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