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We investigate the $Tbar{T}$ deformations of two-dimensional supersymmetric quantum field theories. More precisely, we show that, by using the conservation equations for the supercurrent multiplet, the $Tbar{T}$ deforming operator can be constructed as a supersymmetric descendant. Here we focus on $mathcal{N}=(1,0)$ and $mathcal{N}=(1,1)$ supersymmetry. As an example, we analyse in detail the $Tbar{T}$ deformation of a free $mathcal{N}=(1,0)$ supersymmetric action. We also argue that the link between $Tbar{T}$ and string theory can be extended to superstrings: by analysing the light-cone gauge fixing for superstrings in flat space, we show the correspondence of the string action to the $Tbar{T}$ deformation of a free theory of eight $mathcal{N}=(1,1)$ scalar multiplets on the nose. We comment on how these constructions relate to the geometrical interpretations of $Tbar{T}$ deformations that have recently been discussed in the literature.
We construct a solvable deformation of two-dimensional theories with $(2,2)$ supersymmetry using an irrelevant operator which is a bilinear in the supercurrents. This supercurrent-squared operator is manifestly supersymmetric, and equivalent to $Tbar
We explore the $Jbar{T}$ and $Tbar{J}$ 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
In this paper, we continue the study of $Tbar{T}$ deformation in $d=1$ quantum mechanical systems and propose possible analogues of $Jbar{T}$ deformation and deformation by a general linear combination of $Tbar{T}$ and $Jbar{T}$ in quantum mechanics.
We consider the most general set of integrable deformations extending the $Tbar{T}$ deformation of two-dimensional relativistic QFTs. They are CDD deformations of the theorys factorised S-matrix related to the higher-spin conserved charges. Using a m
String theory on AdS$_3$ with NS-NS fluxes admits a solvable irrelevant deformation which is close to the $Tbar{T}$ deformation of the dual CFT$_2$. This consists of deforming the worldsheet action, namely the action of the $SL(2,mathbb{R})$ WZW mode