\documentclass[12pt]{article}
\usepackage{amsmath,amssymb,amsfonts}
\begin{document}
We investigate the TT Ì
-like ï¬ows for non-linear electrodynamic theories in D(= 2n)-dimensional spacetime. Our analysis is restricted to the deformation problem of the classical free action by employing the proposed TT Ì
operator from a simple integration technique. We show that this ï¬ow equation is compatible with TT Ì
deformation of nonlinear Born-Infeld type theories in D=2 and D=4 dimensions. However, our computation discloses that this kind of TT Ì
ï¬ow is in conï¬ict with the deformation of Born-Infeld theory in D â¥ 6. As an illustrative investigation in 4D, we ï¬nd that our construction for the TT Ì
operator preserves the original SL(2,R) symmetry of a non-supersymmetric Born-Infeld theory, as well as N=2 supersymmetric model. It is shown that the corresponding SL(2,R) invariant action ï¬xes the relationship between the TT Ì
operator and quadratic form of energy-momentum tensor in 4D.
\end{document}