Supersymmetric $J\bar{T}$ and $T\bar{J}$ deformations

Abstract

We explore the $J\bar{T}$ and $T\bar{J}$ deformations of two-dimensional field theories possessing $\mathcal{N}=(0,1),(1,1)$ and $(0,2)$ supersymmetry. Based on the stress-tensor and flavor current multiplets, we construct various bilinear supersymmetric primary operators that induce the $J\bar{T}/T\bar{J}$ deformation in a manifestly supersymmetric way. Moreover, their supersymmetric descendants are shown to agree with the conventional $J\bar{T}/T\bar{J}$ operator on-shell. We also present some examples of $J\bar{T}/T\bar{J}$ flows arising from the supersymmetric deformation of free theories. Finally, we observe that all the deformation operators fit into a general pattern which generalizes the Smirnov-Zamolodchikov type composite operators.

47 pages

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Cited by in corpus (14)

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• $T\bar{T}$-flow effects on torus partition functions
• $T\overline{T}$ deformation in SCFTs and integrable supersymmetric theories
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• $T\overline{T}$-Like Flows and $3d$ Nonlinear Supersymmetry
• ModMax Oscillators and Root-$T\overline{T}$-Like Flows in Supersymmetric Quantum Mechanics
• Flows in the Space of Interacting Chiral Boson Theories
• Bridging Boundaries: $T\bar{T}$, Double Holography, and Reflected Entropy
• Entanglement entropy along a massless renormalisation flow: the tricritical to critical Ising crossover
• Entanglement, defects, and $T\bar{T}$ on a black hole background
• On String theory on deformed BTZ and $T\bar{T}+J\bar{T}+T\bar{J}$