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Recently, it has been suggested that large-Nc orbifold equivalences may beapplicable to certain theories with chemical potentials, including QCD, incertain portions of their phase diagram. When valid, such an equivalence offersthe possibility of relating large-Nc QCD at non-zero baryon chemical potential,a theory with a complex fermion determinant, to a related theory whose fermiondeterminant is real and positive. In this paper, we provide a test of thislarge Nc equivalence using a holographic realization of a supersymmetric theorywith baryon chemical potential and a related theory with isospin chemicalpotential. We show that the two strongly-coupled, large-Nc theories areequivalent in a large region of the phase diagram.

Holographic realization of large-Nc orbifold equivalence with non-zero chemical potential