$T\bar{T}$ deformations with $\mathcal{N}=(0,2)$ supersymmetry

Abstract

We investigate the behaviour of two-dimensional quantum field theories with $\mathcal{N}=(0,2)$ supersymmetry under a deformation induced by the `$T\bar{T}$' composite operator. We show that the deforming operator can be defined by a point-splitting regularisation in such a way as to preserve $\mathcal{N}=(0,2)$ supersymmetry. As an example of this construction, we work out the deformation of a free $\mathcal{N}=(0,2)$ theory and compare to that induced by the Noether stress-energy tensor. Finally, we show that the $\mathcal{N}=(0,2)$ supersymmetric deformed action actually possesses $\mathcal{N}=(2,2)$ symmetry, half of which is non-linearly realised.

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Cited by in corpus (40)

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• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• $T\overline{T}$ in AdS${}_2$ and Quantum Mechanics
• Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs
• Root-$T\overline{T}$ Deformations in Two-Dimensional Quantum Field Theories
• 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
• $T\bar{T}$ Flows and (2,2) Supersymmetry
• $T\bar{T}$ deformations and integrable spin chains
• $T\overline{T}$, $\tilde{J}J$, $JT$ and $\tilde{J}T$ deformations
• Flow equations for generalised $T\bar{T}$ deformations
• The correlation function of (1,1) and (2,2) supersymmetric theories with $T\bar{T}$ deformation
• $T\bar{T}$-like Flows in Non-linear Electrodynamic Theories and S-duality
• Duality-Invariant Non-linear Electrodynamics and Stress Tensor Flows
• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• On the Classical Integrability of Root-$T\overline{T}$ Flows
• Non-Linear Supersymmetry and $T\bar{T}$-like Flows
• $T\bar{T}$ in JT Gravity and BF Gauge Theory
• A Non-Abelian Analogue of DBI from $T\overline{T}$
• Root-$T\overline{T}$ Deformed Boundary Conditions in Holography
• Stress Tensor Flows, Birefringence in Non-Linear Electrodynamics, and Supersymmetry
• TTbar deformation and the light-cone gauge
• The 2D Volkov-Akulov model as a $T\bar{T}$ deformation
• $T\overline{T}$ deformation in SCFTs and integrable supersymmetric theories
• $T\bar{T}$-deformation and Liouville gravity
• Maximally Supersymmetric RG Flows in 4D and Integrability
• $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ and String Theory
• $T\overline{T}$-Like Flows and $3d$ Nonlinear Supersymmetry
• ModMax Oscillators and Root-$T\overline{T}$-Like Flows in Supersymmetric Quantum Mechanics
• $T\bar{T}$ deformed YM${}_2$ on general backgrounds from an integral transformation
• Flows in the Space of Interacting Chiral Boson Theories
• $T\overline{T}$ Deformations of nonrelativistic models
• Exact $T\overline{T}$ deformation of two-dimensional Maxwell theory
• Irrelevant Deformations of Chiral Bosons
• Renormalisation in $\text{T}\bar{\text{T}}$-Deformed (Non-)Integrable Theories
• Supersymmetric black holes and $T\bar{T}$ deformation
• Gravitational perturbations as $T\bar{T}$-deformations in 2D dilaton gravity systems
• Note on higher-point correlation functions of the $T\bar{T}$ or $J\bar{T}$ deformed CFTs
• Nonlocal charges from marginal deformations of 2D CFTs: Holographic $T\bar{T}$, $T\bar{J}$ and Yang-Baxter deformations
• On Current-Squared Flows and ModMax Theories