The 2D Volkov-Akulov model as a $T\bar{T}$ deformation

Abstract

We show that the two-dimensional $N=(2,2)$ Volkov-Akulov action that describes the spontaneous breaking of supersymmetry is a $T\bar{T}$ deformation of a free fermionic theory. Our findings point toward a possible relation between nonlinear supersymmetry and $T\bar{T}$ flows.

arXiv comment5 pages, two columns; v2: improved introduction and discussion, references added, published version

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Cited by in corpus (13)

• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• Non-Linear Supersymmetry and $T\bar{T}$-like Flows
• $T\bar{T}$ in JT Gravity and BF Gauge Theory
• Sequential Flows by Irrelevant Operators
• $T\overline{T}$ Deformations of Supersymmetric Quantum Mechanics
• ModMax Oscillators and Root-$T\overline{T}$-Like Flows in Supersymmetric Quantum Mechanics
• $T\overline{T}$-Like Flows and $3d$ Nonlinear Supersymmetry
• $T\bar{T}$ deformed YM${}_2$ on general backgrounds from an integral transformation
• 1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires
• Renormalisation in $\text{T}\bar{\text{T}}$-Deformed (Non-)Integrable Theories
• Supersymmetric black holes and $T\bar{T}$ deformation
• Chiral Decoupling from Irrelevant Deformations
• On Current-Squared Flows and ModMax Theories