$T\bar{T}$-deformed 2D Yang-Mills at large N: collective field theory and phase transitions

Understand

We consider the $T\bar T$ deformation of 2d large $N$ YM theory on a cylinder, sphere and disk.

• The collective field theory Hamiltonian for the deformed theory is derived and the particular solutions to the equations of motion of the collective theory are found for the sphere.
• The account of the non-perturbative branch of the solution amounts to the first-order phase transition at the $(A,\tau)$ plane.
• We analyze the third-order phase transition in the deformed theory on the disk and derive the critical area as a function of the boundary holonomy.