$$ T\overline{T} $$ flow as characteristic flows

Hou, Jue

doi:10.1007/jhep03(2023)243

Cited by 9 publications

(2 citation statements)

References 65 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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.

View full text Add to dashboard Cite

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.

show abstract

Section: Introductionmentioning

confidence: 98%

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

Ferko,

Smith,

Tartaglino-Mazzucchelli

2023

SciPost Phys.

View full text Add to dashboard Cite

show abstract

“…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.

View full text Add to dashboard Cite

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.

show abstract

On self-dual Carrollian conformal nonlinear electrodynamics

Chen,

Hou,

Sun

2024

J. High Energ. Phys.

View full text Add to dashboard Cite

In this work, we study the duality symmetry group of Carrollian (nonlinear) electrodynamics and propose a family of Carrollian ModMax theories, which are invariant under Carrollian SO(2) electromagnetic (EM) duality transformations and conformal transformation. We define the Carrollian SO(2) EM transformations, with the help of Hodge duality in Carrollian geometry, then we rederive the Gaillard-Zumino consistency condition for EM duality of Carrollian nonlinear electrodynamics. Together with the traceless condition for the energy-momentum tensor, we are able to determine the Lagrangian of the Carrollian ModMax theories among pure electrodynamics. We furthermore study their behaviors under the $$ \sqrt{T\overline{T}} $$ T T ¯ deformation flow, and show that these theories deform to each other and may reach two endpoints under the flow, with one of the endpoint being the Carrollian Maxwell theory. As a byproduct, we construct a family of two-dimensional Carrollian ModMax-like multiple scalar theories, which are closed under the $$ \sqrt{T\overline{T}} $$ T T ¯ flow and may flow to a BMS free multi-scalar model.

show abstract

$$ T\overline{T} $$ flow as characteristic flows

Cited by 9 publications

References 65 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

On self-dual Carrollian conformal nonlinear electrodynamics

Contact Info

Product

Resources

About