“School of Particles And Accelerator”

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Paper   IPM / Particles And Accelerator / 16838
School of Particles and Accelerator
  Title:   TT-like flows in non-linear electrodynamic theories and S-duality
1.  H Babaei-Aghbolagh
2.  Komeil Babaei Velni
3.  Davood Mahdavian Yekta
4.  H Mohammadzadeh
  Status:   Published
  Journal: JHEP
  Year:  2021
  Supported by:  IPM
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 a scalar field theory in D=2 and of a non-linear Born-Infeld type theory in D=4 dimensions. However, our computation discloses that this kind of TT¯ flow in higher dimensions is essentially different from deformation that has been derived from the AdS/CFT interpretations. Indeed, the gravity that may be exist as a holographic dual theory of this kind of effective Born-Infeld action is not necessarily an AdS space. As an illustrative investigation in D=4, we shall also show 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 the energy-momentum tensor in D=4.

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