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Scalar effective potential for D7 brane probes which break chiral symmetry

Scalar effective potential for D7 brane probes which break chiral symmetry
Scalar effective potential for D7 brane probes which break chiral symmetry
We consider D7 brane probes embedded in deformed AdS5 × 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/Q4 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.
AdS-CFT correspondence, D-branes, gauge-gravity correspondence
011-[14pp]
Apreda, Riccardo
9b4731a3-8aab-4cf8-acb3-eb78968a67e6
Erdmenger, Johanna
a6829342-7960-44ea-b502-fe531cde3f33
Evans, Nick
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3
Apreda, Riccardo
9b4731a3-8aab-4cf8-acb3-eb78968a67e6
Erdmenger, Johanna
a6829342-7960-44ea-b502-fe531cde3f33
Evans, Nick
33dfbb52-64dd-4c1f-9cd1-074faf2be4b3

Apreda, Riccardo, Erdmenger, Johanna and Evans, Nick (2006) Scalar effective potential for D7 brane probes which break chiral symmetry. The Journal of High Energy Physics, 5, 011-[14pp]. (doi:10.1088/1126-6708/2006/05/011).

Record type: Article

Abstract

We consider D7 brane probes embedded in deformed AdS5 × 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/Q4 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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Published date: May 2006
Keywords: AdS-CFT correspondence, D-branes, gauge-gravity correspondence

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Local EPrints ID: 56994
URI: https://eprints.soton.ac.uk/id/eprint/56994
PURE UUID: 7ef05947-a64a-4f5e-a103-3a2eda2d5597

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Date deposited: 13 Aug 2008
Last modified: 13 Mar 2019 20:34

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Contributors

Author: Riccardo Apreda
Author: Johanna Erdmenger
Author: Nick Evans

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