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Holographic Higgs Phases

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arxiv 1202.5271 v3 pith:NWPG6QEG submitted 2012-02-23 hep-th gr-qc

classification hep-thgr-qc
keywords gaugeholographicbulkexistencehiggsphasestheoriestheory
verification ladder T0 review T1 audit T2 compute T3 formal
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We discuss phases of gauge theories in the holographic context, and formulate a criterion for the existence of a Higgs phase, where the gauge redundancy is "spontaneously broken", in purely bulk language. This condition, the existence of a finite tension solitonic string representing a narrow magnetic flux tube, is necessary for a bulk theory to be interpreted as a Higgs phase of a boundary gauge theory. We demonstrate the existence of such solitons in both top-down and bottom-up examples of holographic theories. In particular, we numerically construct new solitonic solutions in AdS black hole background, for various values of the boundary gauge coupling, which are used to demonstrate that the bulk theory models a superconductor, rather than a superfluid. The criterion we find is expected to be useful in finding holographic duals of color superconducting phases of gauge theories at finite density.

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  1. Spectrum of a Supersymmetric Color Superconductor

    hep-th 2019-08 conditional novelty 6.0 of 10

    The mesonic spectrum of a supersymmetric color superconductor contains type II Goldstone modes with quadratic dispersion, a pseudo-Goldstone of mass 2Mq, and extra gapless modes from supersymmetric moduli.

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