$TT$-deformation of 2d Yang-Mills theory at large N: collective field theory and phase transitions

We derive the Hamiltonian of $TT$-deformed 2d YM theory at large $N$ which is deformation of Das–Jevicki Hamiltonian. The exact non-perturbative solution to the collective field theory on the sphere is found which implies the first order phase transition at the critical deformation parameter. The generalizations of the Douglas–Kazakov 3-rd order phase large $N$ transition for the deformed theory for the different geometries are found.

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