Geodesic
$T\overline T$ Deformation and the Light-Cone Gauge
Informatics and Automation, Modern problems of mathematical and theoretical physics, Tome 309 (2020), pp. 120-140

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The homogeneous inviscid Burgers equation, which determines the spectrum of a $T\overline T$ deformed model, has a natural interpretation as the condition of the gauge invariance of the target space–time energy and momentum of a (non-critical) string theory quantised in a generalised uniform light-cone gauge which depends on the deformation parameter. As a simple application of the light-cone gauge interpretation, we derive the $T\overline T$ deformed Lagrangian for a system of any number of scalars, fermions and chiral bosons with an arbitrary potential. We find that the $T\overline T$ deformation is driven by the canonical Noether stress–energy tensor but not the covariant one. 
@article{TRSPY_2020_309_a8,
     author = {Sergey A. Frolov},
     title = {$T\overline T$ {Deformation} and the {Light-Cone} {Gauge}},
     journal = {Informatics and Automation},
     pages = {120--140},
     publisher = {mathdoc},
     volume = {309},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2020_309_a8/}
}
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Sergey A. Frolov. $T\overline T$ Deformation and the Light-Cone Gauge. Informatics and Automation, Modern problems of mathematical and theoretical physics, Tome 309 (2020), pp. 120-140. http://geodesic.mathdoc.fr/item/TRSPY_2020_309_a8/