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The study of QCD at finite baryon density is severely hampered by theso-called fermion sign problem. As a result, we have no known first principlesapproach to study nuclear matter, or neutron stars from QCD. On the surface,the large Nc limit does not seem to simplify matters. In this limit, however,one can exploit dualities that exist between strongly coupled gauge theories.Our focus will be on some rather novel orbifold equivalences that have recentlybeen discovered at finite density. These equivalences relate strongly coupledtheories plagued by a sign problem, to strongly coupled theories free of signproblems. As a result, such dualities give deeper insight into the nature ofthe sign problem and possibly provide a way to simulate QCD at finite densityin the large Nc limit.

The Fermion Sign Problem at Finite Density, and Large Nc Orbifold Equivalence