$$\sqrt{T\overline{T}}$$-deformed oscillator inspired by ModMax

Garcı́a, J. Antonio; Sánchez-Isidro, R. Abraham

doi:10.1140/epjp/s13360-023-03679-x

Cited by 14 publications

(3 citation statements)

References 33 publications

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“…in any d ≥ 2, where Tµν is the traceless part of the stress tensor and c is another dimensionless constant. In two spacetime dimensions and for c = 1 2 , this gives the classical root-T T flow which has been studied in [35]; see also [36][37][38][39][40][41][42] for related work.…”

Section: Introductionmentioning

confidence: 98%

Stress Tensor flows, birefringence in non-linear electrodynamics and supersymmetry

Ferko,

Smith,

Tartaglino-Mazzucchelli

2023

SciPost Phys.

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We identify the unique stress tensor deformation which preserves zero-birefringence conditions in non-linear electrodynamics, which is a 4d4d version of the T\overline{T}TT¯ operator. We study the flows driven by this operator in the three Lagrangian theories without birefringence - Born-Infeld, Plebanski, and reverse Born-Infeld - all of which admit ModMax-like generalizations using a root-T\overline{T}TT¯-like flow that we analyse in our paper. We demonstrate one way of making this root-T\overline{T}TT¯-like flow manifestly supersymmetric by writing the deforming operator in \mathcal{N} = 1𝒩=1 superspace and exhibit two examples of superspace flows. We present scalar analogues in d = 2d=2 with similar properties as these theories of electrodynamics in d = 4d=4. Surprisingly, the Plebanski-type theories are fixed points of the classical T\overline{T}TT¯-like flows, while the Born-Infeld-type examples satisfy new flow equations driven by relevant operators constructed from the stress tensor. Finally, we prove that any theory obtained from a classical stress-tensor-squared deformation of a conformal field theory gives rise to a related “subtracted” theory for which the stress-tensor-squared operator is a constant.

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Section: Introductionmentioning

confidence: 98%

Stress Tensor flows, birefringence in non-linear electrodynamics and supersymmetry

Ferko,

Smith,

Tartaglino-Mazzucchelli

2023

SciPost Phys.

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“…This operator R is constructed from the traceless part T ab of the stress tensor and is the ddimensional analogue of the root-T T operator whose two-dimensional version was studied in [34] (see also [35][36][37][38][39][40][41][42]). 3 A marginal flow driven by the operator R can be used to obtain the Modified Maxwell (ModMax) theory, which was introduced in [44][45][46], in four spacetime dimensions [47].…”

Section: Introductionmentioning

confidence: 99%

$T \overline{T}$-like flows and $3d$ nonlinear supersymmetry

Ferko,

Hu,

Huang

et al. 2024

SciPost Phys.

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We show that the 3d3d Born-Infeld theory can be generated via an irrelevant deformation of the free Maxwell theory. The deforming operator is constructed from the energy-momentum tensor and includes a novel non-analytic contribution that resembles root-T \ overline{T}ToverlineT. We find that a similar operator deforms a free scalar into the scalar sector of the Dirac-Born-Infeld action, which describes transverse fluctuations of a D-brane, in any dimension. We also analyse trace flow equations and obtain flows for subtracted models driven by a relevant operator. In 3d3d, the irrelevant deformation can be made manifestly supersymmetric by presenting the flow equation in \mathcal{N} = 1𝒩=1 superspace, where the deforming operator is built from supercurrents. We demonstrate that two supersymmetric presentations of the D2-brane effective action, the Maxwell-Goldstone multiplet and the tensor-Goldstone multiplet, satisfy superspace flow equations driven by this supercurrent combination. To do this, we derive expressions for the supercurrents in general classes of vector and tensor/scalar models by directly solving the superspace conservation equations and also by coupling to \mathcal{N} = 1𝒩=1 supergravity. As both of these multiplets exhibit a second, spontaneously broken supersymmetry, this analysis provides further evidence for a connection between current-squared deformations and nonlinearly realized symmetries.

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“…In two dimensions, root-type T T deformation was independently discovered in the [51,52]. Root-type T T deformation has been developed for various theories in different dimensions [49,[53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69][70][71].…”

Section: Introductionmentioning

confidence: 99%

$$ T\overline{T} $$-like flows in non-linear electrodynamic theories and S-duality

Babaei-Aghbolagh

Velni

Yekta

et al. 2021

J. High Energ. Phys.

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We investigate the $$ T\overline{T} $$ T 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 $$ T\overline{T} $$ T T ¯ operator from a simple integration technique. We show that this flow equation is compatible with $$ T\overline{T} $$ T 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 $$ T\overline{T} $$ T 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 $$ T\overline{T} $$ T T ¯ operator preserves the original SL(2, ℝ) symmetry of a non-supersymmetric Born-Infeld theory, as well as $$ \mathcal{N} $$ N = 2 supersymmetric model. It is shown that the corresponding SL(2, ℝ) invariant action fixes the relationship between the $$ T\overline{T} $$ T T ¯ operator and quadratic form of the energy-momentum tensor in D = 4.

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$$\sqrt{T\overline{T}}$$-deformed oscillator inspired by ModMax

Cited by 14 publications

References 33 publications

Stress Tensor flows, birefringence in non-linear electrodynamics and supersymmetry

Stress Tensor flows, birefringence in non-linear electrodynamics and supersymmetry

$T \overline{T}$-like flows and $3d$ nonlinear supersymmetry

$$ T\overline{T} $$-like flows in non-linear electrodynamic theories and S-duality

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