On SL(2;R) symmetry in nonlinear electrodynamics theories

Velni, Komeil Babaei; Babaei-Aghbolagh, H.

doi:10.48550/arxiv.1610.07790

Cited by 6 publications

(11 citation statements)

References 20 publications

(28 reference statements)

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“…but observe that we should only retain the "+" solution, since B → 2 for α → 0. The coefficient C can be found in an analogous way, while the values of E and D are easily obtained from (21) and (22). The final result reads…”

Section: Quadratic Theoriesmentioning

confidence: 99%

“…In a way, we can say that duality dictates how the theory should be completed, although such completion is not unique, since at each order one can introduce new independent terms that respect duality. In the case of the term T µν T µν , the simplest duality-invariant completion corresponds to (Einstein-)Born-Infeld theory [10][11][12], a model that has been known for a long time and which is a paradigmatic example of a nonlinear duality invariant theory -see also [13][14][15][16][17][18][19][20][21][22] for other nonlinear models. On the other hand, to the best of our knowledge, exactly invariant theories with nonminimal couplings to gravity have not been studied so far.…”

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confidence: 99%

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Exact electromagnetic duality with nonminimal couplings

Cano,

Murcia

2021

Preprint

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We study dyonic black hole solutions in the simplest nonminimal extension of Einstein-Maxwell theory that preserves electromagnetic duality. Any such theory involves an infinite tower of higherderivative terms whose computation and summation usually represents an inaccessible problem. However, we show that upon assumption of a static and spherically symmetric ansatz, the whole series of higher-curvature terms can be summed up, giving rise to a fully nonlinear reduced action whose equations of motion are invariant under rotations of the electric and magnetic charges. From this result we compute the perturbative corrections to the Reissner-Nordström solution, and in the case of extremal black holes we determine exactly the near-horizon geometry as well as the entropy. Remarkably, the entropy only possesses a constant correction despite the action containing an infinite number of terms. In addition, we find there is a lower bound for the charge and the mass of extremal black holes. When the sign of the coupling is such that the weak gravity conjecture is satisfied, the area and the entropy of extremal black holes vanish at the minimal charge.

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Section: Quadratic Theoriesmentioning

confidence: 99%

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confidence: 99%

Exact electromagnetic duality with nonminimal couplings

Cano,

Murcia

2021

Preprint

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“…Considering the approach in ref. [19] that was applied to find the SL(2, R) invariant form of EM tensor for non-linear electrodynamic theories, the above T T operator can be found in the form that is manifestly SL(2, R) invariant. We should find the nonlinear SL(2, R) invariant structure (3.10) corresponding to BI theory in terms of the field strengths F and G. Therefore, the calculation yields…”

Section: Sl(2 R) Invariant Structure Of 4d T T Operatormentioning

confidence: 99%

“…An SL(2, R) invariant form for T µν of non-linear electrodynamic theories is given in ref. [19]. This fact is the second motivation that encourages us to investigate this symmetry for O T 2 , i.e., we search for an SL(2, R) invariant form of T T operator.…”

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confidence: 99%

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$T\bar{T}$-like Flows in Non-linear Electrodynamic Theories and S-duality

Babaei-Aghbolagh,

Velni,

Yekta

et al. 2020

Preprint

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We investigate the 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 T operator from a simple integration technique. We show that this flow equation is compatible with T T deformation of nonlinear Born-Infeld type theories in D = 2 and D = 4 dimensions. However, our computation discloses that this kind of T T flow is in conflict with the deformation of Born-Infeld theory in D ≥ 6. As an illustrative investigation in 4D, we find that our construction for the T T 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 T T operator and quadratic form of energy-momentum tensor in 4D.

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Manifestly SL(2, R) Duality-Symmetric Forms in ModMax Theory

Babaei-Aghbolagh

Velni

Yekta

et al. 2022

J. High Energ. Phys.

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In this paper, we will investigate a manifestly SL(2, R)-invariant structure for the energy-momentum tensor of ModMax theory as a nonlinear modification of Maxwell electrodynamics which includes conformal invariance as well. In the context of this theory, we show that the energy-momentum tensor of the generalized Born-Infeld theory can also be written in the same invariant form. We will find manifestly duality-invariant parts of the actions corresponding to the invariant couplings λ and γ in these theories. It can be shown that the resultant actions correspond to the irrelevant and marginal $$ T\overline{T} $$ T T ¯ -like deformations, respectively.

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On SL(2;R) symmetry in nonlinear electrodynamics theories

Cited by 6 publications

References 20 publications

Exact electromagnetic duality with nonminimal couplings

Exact electromagnetic duality with nonminimal couplings

$T\bar{T}$-like Flows in Non-linear Electrodynamic Theories and S-duality

Manifestly SL(2, R) Duality-Symmetric Forms in ModMax Theory

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