NOVEL COLOR SUPERCONDUCTING PHASES OF N $$ MATHCAL{N} $$ = 4 SUPER YANG-MILLS AT STRONG COUPLING

Novel color superconducting phases of N $$ mathcal{N} $$ = 4 super Yang-Mills at strong coupling

Novel color superconducting phases of N $$ mathcal{N} $$ = 4 super Yang-Mills at strong coupling

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Abstract We FRENCH LENTILS revisit the large-N c phase diagram of N $$ mathcal{N} $$ = 4 super Yang-Mills theory at finite R-charge density and strong coupling, by means of the AdS/CFT correspondence.We conjecture new phases that result from a black hole shedding some of its charge through the nucleation of probe color D3-branes that remain at a finite distance from the black hole when the dual field theory lives on a sphere.In the corresponding ground states the color group is partially Higgsed, so these phases can be identified as having a type of color superconductivity.The new phases would appear at intermediate values of the R-charge chemical potential and we expect them to be metastable but long-lived in the large-N Mobile Audio c limit.

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