  We construct the superaction for the $T\overline{T}$ deformation of 2D free
$\mathcal{N}=(1,1)$ supersymmetric model with a deformed superfield. We show
that the $\mathcal{N}=(1,1)$ off-shell is deformed under the $T\overline{T}$
deformation, which is reflected by the deformed superfield. We interpret this
superaction as an effective action of the Goldstone superfield for the partial
spontaneous breaking of $\mathcal{N}=(2,2)$ supersymmetry to
$\mathcal{N}=(1,1)$. We demonstrate that the unbroken and broken supersymmetry
of the effective superaction corresponds to the off-shell $\mathcal{N}=(1,1)$
supersymmetry and the off-shell fermi global non-linear symmetry in the
$T\overline{T}$-deformed theory, respectively. We show that this effective
superaction can be obtained by the non-linear realization of the partially
broken global supersymmetry (PBGS) from the coset superspace. Furthermore, we
reproduce the superaction by the constrained superfield method accompanied by a
field redefinition.

High Energy Physics - Theory