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Paper   IPM / Physic / 16459
School of Physics
  Title:   TT ̅ like Flows in Non-linear Electrodynamic Theories and S-duality
  Author(s): 
1.  H. Babaei-Aghbolagh
2.  K. Babaei Velni
3.  D. Mahdavian Yekta
4.  H. Mohammadzadeh
  Status:   Preprint
  Journal:
  Year:  2020
  Supported by:  IPM
  Abstract:
We investigate the TT ̅-like flows 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 ̅ operator from a simple integration technique. We show that this flow equation is compatible with TT ̅ deformation of nonlinear Born-Infeld type theories in D=2 and D=4 dimensions. However, our computation discloses that this kind of TT ̅ flow is in conflict with the deformation of Born-Infeld theory in D ≥ 6. As an illustrative investigation in 4D, we find that our construction for the TT ̅ 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 fixes the relationship between the TT ̅ operator and quadratic form of energy-momentum tensor in 4D.

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