Emergence of non-linear electrodynamic theories from <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi>T</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover></mml:math>-like deformations

Babaei-Aghbolagh, H.; Velni, Komeil Babaei; Yekta, Davood Mahdavian; Mohammadzadeh, Hosein

doi:10.1016/j.physletb.2022.137079

Cited by 56 publications

(16 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…which is precisely the result obtained in Ref. [23] from the dimensional reduction of the four-dimensional ModMax-Born-Infeld theory [16,17,21,22].…”

Section: Indeed Commutessupporting

confidence: 87%

“…( 5) admits a T T -like deformation in terms of a Born-Infeld action with parameter λ. The resulting two parameter, four-dimensional action S (λ,γ) is the solution of two commuting flow-equations [20][21][22]. The flows we introduce here precisely generate, and extend, the reduction to two dimensions of the ModMax-Born-Infeld action recently obtained in Ref.…”

Section: Introductionmentioning

confidence: 52%

“…The study of T T and holography has also led to new irrelevant deformations in D > 2 dimensions [40,41]. Similar stress-energy tensor squared deformations have also emerged as key ingredients in (supersymmetric) four-dimensional Mod-Max [20][21][22]42]. Both our D = 2 operator R, Eq.…”

Section: Discussionmentioning

confidence: 95%

“…Both our D = 2 operator R, Eq. ( 4), and the operator generating the γ-flow of the D = 4 ModMax-Born-Infeld theory [21] can be written as…”

Section: Discussionmentioning

confidence: 99%

“…The same argument of the previous section confirms this flow too commutes with the usual T T flow. Note that in (21) we started from a system of free Dirac Fermions. However, the same argument concerning the integration of the flows holds if chirality conditions are imposed.…”

Section: Fermionsmentioning

confidence: 99%

See 4 more Smart Citations

Root-$T \overline{T}$ Deformations

Ferko¹,

Sfondrini²,

Smith³

et al. 2022

Preprint

View full text Add to dashboard Cite

In this letter we introduce a one-parameter deformation of two-dimensional quantum field theories generated by a non-analytic operator which we call Root-T T . For a conformal field theory, the operator coincides with the square-root of the T T operator. More generally, the operator is defined so that classically it is marginal and generates a flow which commutes with the T T -flow. Intriguingly, the Root-T T flow is closely related to the ModMax theory recently constructed by Bandos, Lechner, Sorokin and Townsend.

show abstract

“…which is precisely the result obtained in Ref. [23] from the dimensional reduction of the four-dimensional ModMax-Born-Infeld theory [16,17,21,22].…”

Section: Indeed Commutessupporting

confidence: 87%

Section: Introductionmentioning

confidence: 52%

Section: Discussionmentioning

confidence: 95%

“…Both our D = 2 operator R, Eq. ( 4), and the operator generating the γ-flow of the D = 4 ModMax-Born-Infeld theory [21] can be written as…”

Section: Discussionmentioning

confidence: 99%

Section: Fermionsmentioning

confidence: 99%

See 3 more Smart Citations

Root-$T \overline{T}$ Deformations

Ferko¹,

Sfondrini²,

Smith³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

Polarisability and magnetisation of electrically K-mouflaged objects: the Born-Infeld ModMax case study

Jiménez

Bettoni

Brax

2023

J. High Energ. Phys.

View full text Add to dashboard Cite

We consider a family of non-linear theories of electromagnetism that interpolate between Born-Infeld at small distances and the recently introduced ModMax at large distances. These models are duality invariant and feature a K-mouflage screening in the Born-Infeld regime. We focus on computing the static perturbations around a point-like screened charge in terms of two decoupled scalar potentials describing the polar and the axial sectors respectively. Duality invariance imposes that the propagation speed of the odd perturbations goes to zero as fast as the effective screened charge of the object, potentially leading to strong coupling and an obstruction to the viability of the EFT below the screened radius. We then consider the linear response to external fields and compute the electric polarisability and the magnetic susceptibility. Imposing regularity of the perturbations at the position of the particle, we find that the polarisability for the odd multipoles vanishes whilst for the magnetisation Born-Infeld emerges as the only theory with vanishing susceptibility for even multipoles. The perturbation equations factorise in terms of ladder operators connecting different multipoles. There are two such ladder structures for the even sector: one that acts as an automorphism between the first four multipoles and another one that connects multipoles separated by four units. When requiring a similar ladder structure for the odd sector, Born-Infeld arises again as the unique theory. We use this ladder structure to relate the vanishing of the polarisability and the susceptibility to the values of conserved charges. Finally the perturbation equations correspond to a supersymmetric quantum mechanical system such that the polar sector can be described in terms of Schrödinger’s equations with four generalised hyperbolic Pösch-Teller potentials whose eigenfunctions are in correspondence with the multipoles.

show abstract

Non-linear electrodynamics from massive gravity

Flöss,

Roest,

Westerdijk

2024

J. High Energ. Phys.

View full text Add to dashboard Cite

As a counterpart to the four-fermion interaction, which describes massive vector exchange at low energies, we investigate the low energy effective action of photons under exchange of a massive graviton. We show how integrating out a massive graviton leads to the most general duality-invariant vector interactions in 4D or, vice versa, how any such interactions have a natural interpretation within massive gravity. Moreover, we demonstrate how the special case of Born-Infeld theory arises from arguably the simplest graviton potential within ghost-free dRGT massive gravity.

show abstract

Emergence of non-linear electrodynamic theories from TT¯-like deformations

Cited by 56 publications

References 19 publications

Root-$T \overline{T}$ Deformations

Root-$T \overline{T}$ Deformations

Polarisability and magnetisation of electrically K-mouflaged objects: the Born-Infeld ModMax case study

Non-linear electrodynamics from massive gravity

Contact Info

Product

Resources

About