We study a class of N = 1 supersymmetric U(N) gauge theories and find that there exist vacua in which the low-energy magnetic effective gauge group contains multiple nonabelian factors, ∏ i SU(ri), supported by light monopoles carrying the assiciated nonabelian charges. These nontrivially generalize the physics of the so-called r-vacua found in softly broken N = 2 supersymmetric SU(N) QCD, with...

The entanglement entropy of SU(N) lattice gauge theory is studied exactly in 1 + 1 space-time dimensions and in Migdal-Kadanoff approximation in higher dimensional space. The existence of a non-analytical behavior reminiscent of a phase transition for a characteristic size of the entangled region is demonstrated for higher dimensional theories.

We construct lattice actions for a variety of (2, 2) supersymmetric gauge theories in two dimensions with matter fields interacting via a superpotential.

We use dyonic brane configurations of type 0 string theory to study large N non-supersymmetric 4d gauge theories. The brane configurations define theories similar to the supersymmetric ones which arise in type II. We find the non-SUSY analogues of N = 2 and N = 1 . In particular we suggest new non-SUSY CFT’s and a brane realization of a non-SUSY Seiberg duality.

In 1954, Yang and Mills founded the non-Abel gauge field theory [1 ]. Since then, the gauge field theory has developed greatly, and has been widely applied to elementary particle theory. Now, we believe that, four kinds of fundamental interactions in nature are all gauge interactions and can be described by gauge field theories. It is generally believed that the principle of local gauge invaria...