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Strong coupling effective Higgs potential and a first order thermal phase transition from AdS/CFT duality

Riccardo Apreda·Johanna Erdmenger·Nick Evans·Zachary Guralnik
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Abstract

We use AdS/CFT duality to study the thermodynamics of a strongly coupled N=2 supersymmetric large Nc SU(Nc) gauge theory with Nf =2 fundamental hypermultiplets. At finite temperature T and isospin chemical potential mu, a potential on the Higgs branch is generated, corresponding to a potential on the moduli space of instantons in the AdS description. For mu =0, there is a known first order phase transition around a critical temperature Tc. We find that the Higgs VEV is a suitable order parameter for this transition; for T>Tc, the theory is driven to a non-trivial point on the Higgs branch. For non-zero mu and T=0, the Higgs potential is unbounded from below, leading to an instability of the field theory due to Bose-Einstein condensation.

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Riccardo Apreda, Johanna Erdmenger, Nick Evans, Zachary Guralnik. 2005-04-19. Strong coupling effective Higgs potential and a first order thermal phase transition from AdS/CFT duality. https://doi.org/10.1103/physrevd.71.126002

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