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

Abstract

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

22 pages, 3 figures

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Cited by in corpus (8)

• SU(N) gauge theories at large N
• Quarkonium at non-zero isospin density
• Dirac Spectrum of the Wilson Dirac Operator for QCD with Two Colors
• QCD With A Chemical Potential, Topology, And The 't Hooft 1/N Expansion
• A new large-N limit and the planar equivalence outside the planar limit
• On S-duality for holographic p-wave superconductors
• Large-Nc equivalence and the sign problem at finite baryon density
• Phase quenching in finite-density QCD: models, holography, and lattice