Marginal <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>T</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:math>-like deformation and modified Maxwell theories in two dimensions
H. Babaei-Aghbolagh, Komeil Babaei Velni, Davood Mahdavian Yekta, Hosein Mohammadzadeh
Abstract
Recently, the ModMax theory has been proposed as a unique conformal nonlinear extension of electrodynamic theories. We have shown in [H. Babaei-Aghbolagh et al., Phys. Lett. B 829, 137079 (2022).] that this modification can be reproduced by using a marginal $T\overline{T}$-like deformation from pure Maxwell theory. Further, it was shown that this deformation is solvable by applying a perturbative approach. In this paper, we will investigate a similar marginal $T\overline{T}$-like deformation for a general two-dimensional scalar field theory. It is shown that employing an irrelevant $T\overline{T}$ operator on this marginal scalar theory will produce a generalized Nambu-Goto action of this scalar theory which is a Born-Infeld-like action in two dimensions. Using a similar prescription for a two-dimensional theory with multiple scalar fields, we show that the marginal $T\overline{T}$-like deformation yields a ModMax-like Lagrangian and then the irrelevant operator produces a generalized scalar ModMax action.