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

Abstract

We study the partition function of a $T\overline{T}$-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.

I+24 pages, 3 figures; v2: minor corrections, published version

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Cited by in corpus (20)

• The $\text{T}\bar{\text{T}}$ perturbation and its geometric interpretation
• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs
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• Correlation functions of the CFTs on torus with $T\bar{T}$ deformation
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• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
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• The phase diagram of $T\bar{T}$-deformed Yang-Mills theory on the sphere