Root-$T\overline{T}$ Deformations in Two-Dimensional Quantum Field Theories

Abstract

In this letter we introduce a one-parameter deformation of two-dimensional quantum field theories generated by a non-analytic operator which we call Root-$T\overline{T}$. For a conformal field theory, the operator coincides with the square-root of the $T\overline{T}$ operator. More generally, the operator is defined so that classically it is marginal and generates a flow which commutes with the $T\overline{T}$-flow. Intriguingly, the Root-$T\overline{T}$ flow is closely related to the ModMax theory recently constructed by Bandos, Lechner, Sorokin and Townsend.

6 pages; LaTeX; references and note added

References in corpus (6)

• On space of integrable quantum field theories
• $T\bar{T}$-deformed 2D Quantum Field Theories
• On p-form gauge theories and their conformal limits
• Emergence of non-linear electrodynamic theories from $T\bar{T}$-like deformations
• Maximally symmetric nonlinear extension of electrodynamics and charged particles
• Hamiltonian analysis of ModMax nonlinear electrodynamics in the first order formalism

Cited by in corpus (31)

• Duality-Invariant Non-linear Electrodynamics and Stress Tensor Flows
• On the Classical Integrability of Root-$T\overline{T}$ Flows
• Nonlinear automorphism of the conformal algebra in 2D and continuous $\sqrt{T\bar{T}}$ deformations
• Electromagnetized black holes and swirling backgrounds in nonlinear electrodynamics: The ModMax case
• Interacting Chiral Form Field Theories and $T\overline{T}$-like Flows in Six and Higher Dimensions
• Geometric formulation of generalized root-$T\bar{T}$ deformations
• Gravity and $T\bar{T}$ flows in higher dimensions
• Manifestly $SL(2,R)$ Duality-Symmetric Forms in ModMax Theory
• Root-$T\overline{T}$ Deformed Boundary Conditions in Holography
• Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry
• Massive gravity generalization of $T\overline{T}$ deformations
• Matrix Theory Reloaded: A BPS Road to Holography
• $T\bar{T}$ flow as characteristic flows
• Infinite Family of Integrable Sigma Models Using Auxiliary Fields
• Quantization of the ModMax Oscillator
• ModMax Oscillators and Root-$T\overline{T}$-Like Flows in Supersymmetric Quantum Mechanics
• $T\overline{T}$-Like Flows and $3d$ Nonlinear Supersymmetry
• Flows in the Space of Interacting Chiral Boson Theories
• Deforming the ODE/IM correspondence with $\mathrm{T}\bar{\mathrm{T}}$
• Irrelevant and marginal deformed BMS field theories
• 4D Chern-Simons theory with auxiliary fields
• $T\bar{T}$ and root-$T\bar{T}$ deformations in four-dimensional Chern-Simons theory
• Waves and strings in an interacting conformal chiral 2-form theory in six dimensions
• The Courant-Hilbert construction in 4D Chern-Simons theory
• Geometric realization via irrelevant deformations induced by the stress-energy tensor
• Root-$T\overline{T}$ deformed CFT partition functions at large central charge
• Field-Dependent Metrics and Higher-Form Symmetries in Duality-Invariant Theories of Non-Linear Electrodynamics
• Self-dual instantons and gravitating dyons in non-Abelian ModMax theory
• Bound states around vacuum in scalar ModMax model
• On $\sqrt{T\overline{T}}$ deformed pathways: CFT to CCFT
• On correlators in $T\bar{T}$-deformed conformal field theories