Large N phase transition in T T ¯ $$ T\overline{T} $$ -deformed 2d Yang-Mills theory on the sphere

Abstract

Abstract We study the partition function of a T T ¯ $$ T\overline{T} $$ -deformed version of Yang-Mills theory on the two-sphere. We show that the Douglas-Kazakov phase transition persists for a range of values of the deformation parameter, and that the critical area is lowered. The transition is of third order and also induced by instantons, whose contributions we characterize.

Keywords

• Field Theories in Lower Dimensions
• Matrix Models
• Nonperturbative Effects