T T ¯ $$ T\overline{T} $$ -like flows in non-linear electrodynamic theories and S-duality
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TLDR
In this article, a flow equation for non-linear electrodynamic theories in D(2n)-dimensional spacetime was derived from a simple integration technique, and it was shown that this flow equation is compatible with the classical free action in higher dimensions.Abstract:
We investigate the $$ T\overline{T} $$
-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 $$ T\overline{T} $$
operator from a simple integration technique. We show that this flow equation is compatible with $$ T\overline{T} $$
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 $$ T\overline{T} $$
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 $$ T\overline{T} $$
operator preserves the original SL(2, ℝ) symmetry of a non-supersymmetric Born-Infeld theory, as well as $$ \mathcal{N} $$
= 2 supersymmetric model. It is shown that the corresponding SL(2, ℝ) invariant action fixes the relationship between the $$ T\overline{T} $$
operator and quadratic form of the energy-momentum tensor in D = 4.read more
Citations
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On Current-Squared Flows and ModMax Theories
TL;DR: In this article , it was shown that the ModMax theory of electrodynamics and its Born-Infeld-like generalization are related by a flow equation driven by a quadratic combination of stress-energy tensors.
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Metric approach to a $$ \mathrm{T}\overline{\mathrm{T}} $$-like deformation in arbitrary dimensions
TL;DR: In this article , a recursive algorithm is proposed to compute the coefficients of the power series expansion of the solution to the metric flow equation, under some quite restrictive assumptions on the stress-energy tensor.
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Surface charges in Chern-Simons gravity with $$ T\overline{T} $$ deformation
Yi-Hong Gao,Wang Huiwen +1 more
TL;DR: In this article , the Chern-Simons formalism of AdS$_3$ gravity with Dirichlet boundary condition at finite cutoff was used to construct the surface charges and associated algebra in 2D deformed theories.
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$$ T\overline{T} $$ deformations of supersymmetric quantum mechanics
TL;DR: In this paper , the authors define a manifestly supersymmetric version of the T \overline{T} deformation appropriate for a class of $(0+1)$-dimensional theories with either 1 or 2 supersymmetry.
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$T\bar{T}$ in JT Gravity and BF Gauge Theory
TL;DR: In this article , the authors consider the deformation of the boundary-anchored Wilson lines induced by a deformation on the boundary of the $2d$ boundary and show that this deformation can be interpreted as a modification of the Chern-Simons boundary conditions.
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