Center symmetry in the planar limit of SU(N) gauge theories with fermions in two-index representations, and orientifold planar equivalence

Who: Agostino Patella (Swansea)
When: Monday, December 14, 2009 at 13:15
Where: The CP³ meeting room

In gauge theories with some center symmetry, confinement and deconfinement are related to the realization of the center symmetry. I will discuss center symmetry in SU(N) gauge theories coupled to fermions in the two-index representations, and some peculiar properties of the large-N limit of these theories. With fermions in the (anti)symmetric representation, the theory is invariant at most under a Z2 center symmetry. This statement is true also in the large-N limit, but the symmetry group of the vacuum is enhanced to a U(1). I will review the Hamiltonian formalism for gauge theories, and the main ideas of the large-N limit and orientifold planar equivalence.