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

TL;DR

This paper tests the large-Nc orbifold equivalence in holographic models with chemical potentials, demonstrating their equivalence in a significant phase diagram region, which could simplify studying QCD at non-zero baryon chemical potential.

Contribution

It provides a holographic verification of large-Nc orbifold equivalence with chemical potentials, extending the understanding of phase diagram relations in strongly-coupled theories.

Findings

Large-Nc theories with baryon and isospin chemical potentials are equivalent in a broad phase diagram region.

Holographic models effectively test orbifold equivalences in strongly-coupled regimes.

The equivalence holds despite the complex fermion determinant in baryon chemical potential theories.

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.