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Scalar effective potential for D7 brane probes which break chiral symmetry

Riccardo Apreda·Johanna Erdmenger·Nick Evans
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Abstract

We consider D7 brane probes embedded in deformed AdS5 x S5 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^4 behaviour and has a minimum at zero vev. For the Yang-Mills* 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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Riccardo Apreda, Johanna Erdmenger, Nick Evans. 2005-12-22. Scalar effective potential for D7 brane probes which break chiral symmetry. https://doi.org/10.1088/1126-6708%2F2006%2F05%2F011

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