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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• Conserved currents and $\text{T}{\bar{\text{T}}}_s$ irrelevant deformations of 2D integrable field theories
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• Entanglement and Rényi Entropy of Multiple Intervals in $T\overline{T}$-Deformed CFT and Holography
• Correlation functions of the CFTs on torus with $T\bar{T}$ deformation
• The correlation function of (1,1) and (2,2) supersymmetric theories with $T\bar{T}$ deformation
• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• Expectation value of $\mathrm{T}\overline{\mathrm{T}}$ operator in curved spacetimes
• A Non-Abelian Analogue of DBI from $T\overline{T}$
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• Exact $T\bar{T}$-deformation of two-dimensional Yang-Mills theory on the sphere
• $T\bar{T}$ deformed YM${}_2$ on general backgrounds from an integral transformation
• $T\overline{T}$-deformation of $q$-Yang-Mills theory
• $T\bar{T}$ deformation of random matrices
• Exact $T\overline{T}$ deformation of two-dimensional Maxwell theory
• On the $T\bar{T}$ deformation of the compactified boson and its interpretation in Lattice Gauge Theory
• $T\bar{T}$-deformed 2D Yang-Mills at large N: collective field theory and phase transitions
• The phase diagram of $T\bar{T}$-deformed Yang-Mills theory on the sphere