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.

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

References in corpus (30)

• Two Dimensional Gauge Theories Revisited
• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• An Exact Prediction of N=4 SUSYM Theory for String Theory
• Two Dimensional QCD is a String Theory
• Asymptotic Fragility, Near $Ad{S}_2$ Holography and $T\bar{T}$
• The 4d Superconformal Index from q-deformed 2d Yang-Mills
• Large $N$ Phase Transition in Continuum QCD${}_2$
• Lectures on 2D Yang-Mills Theory, Equivariant Cohomology and Topological Field Theories
• Black Holes, q-Deformed 2d Yang-Mills, and Non-perturbative Topological Strings
• The $T\overline{T}$ deformation of quantum field theory as random geometry
• Two Dimensional QCD as a String Theory
• $T\bar{T}$ Partition Function from Topological Gravity
• Derivation of the Verlinde Formula from Chern-Simons Theory and the G/G model
• $T\bar{T}$ deformed partition functions
• Generalised Born-Infeld models, Lax operators and the $\text{T}\bar{\text{T}}$ perturbation
• A Solvable Irrelevant Deformation of $Ad{S}_3/CF{T}_2$
• Instanton Induced Large $N$ Phase Transitions in Two and Four Dimensional QCD
• Correlators of local operators and 1/8 BPS Wilson loops on S^2 from 2d YM and matrix models
• Cohomological localization of Chern-Simons theory
• The String Theory Approach to Generalized 2D Yang-Mills Theory
• Two-dimensional QCD, instanton contributions and the perturbative Wu-Mandelstam-Leibbrandt prescription
• Large $N$ Phases of Chiral QCD_2
• Phase transitions in q-deformed 2d Yang-Mills theory and topological strings
• Classical Solutions for Two Dimensional QCD on the Sphere
• Large N_c confinement and turbulence
• Generalized Two-Dimensional QCD
• Entanglement branes in a two-dimensional string theory
• Topological strings and large N phase transitions I: Nonchiral expansion of q-deformed Yang-Mills theory
• q-deformations of two-dimensional Yang-Mills theory: Classification, categorification and refinement

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
• Conserved currents and $\text{T}{\bar{\text{T}}}_s$ irrelevant deformations of 2D integrable field theories
• Holographic integration of $T\bar{T}$ and $J\bar{T}$ via $O(d,d)$
• 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 $T\overline{T}$
• $T\overline{T}$ deformation in SCFTs and integrable supersymmetric theories
• 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