Marginal TT¯-like deformation and modified Maxwell theories in two dimensions

Jun 25, 2022
7 pages
Published in:
  • Phys.Rev.D 106 (2022) 8, 086022
  • Published: Oct 15, 2022
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Abstract: (APS)
Recently, the ModMax theory has been proposed as a unique conformal nonlinear extension of electrodynamic theories. We have shown in [H. Babaei-Aghbolagh , Phys. Lett. B 829, 137079 (2022).] that this modification can be reproduced by using a marginal TT¯-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 TT¯-like deformation for a general two-dimensional scalar field theory. It is shown that employing an irrelevant TT¯ 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 TT¯-like deformation yields a ModMax-like Lagrangian and then the irrelevant operator produces a generalized scalar ModMax action.
Note:
  • 11 pages, improved version
  • dimension: 2
  • field theory: scalar
  • deformation
  • nonlinear
  • conformal
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