On p-form gauge theories and their conformal limits

Bandos, Igor A.; Lechner, Kurt; Sorokin, Dmitri; Townsend, Paul

doi:10.1007/jhep03(2021)022

Cited by 77 publications

(81 citation statements)

References 69 publications

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“…We should remark here that the coupling of generic nonlinear four-dimensional conformal electrodynamics theories to gravity has been investigated in [6], where it was shown that a certain condition on black hole charges restricts the form of any conformal electrodynamics Lagrangian to a particular one-parameter extension of the Maxwell case. As we observed in [5], this class of conformal electrodynamics includes (after a constant rescaling of the gauge potential A m ) the conformal and duality-invariant ModMax theory. More recently, investigations similar to those of [6] but specific to ModMax have been carried out and further extended in [7][8][9][10] (see also [11][12][13]).…”

Section: Jhep10(2021)031mentioning

confidence: 60%

“…It was also shown in [1] that ModMax electrodynamics is the weak-field limit of a oneparameter duality-invariant generalization of Born-Infeld (BI) electrodynamics, although only the Hamiltonian density of this BI-like theory was found there. The corresponding Lagrangian density is [5] L (γBI) = T − T 2 − 2T (cosh γ)S + (sinh γ) S 2 + P 2 − P 2 , (1.3) where T is the BI constant with dimensions of energy density; for γ = 0 we recover the BI theory for which T can be interpreted (in a string-theory context) as the D3-brane tension. The Lagrangian density of (1.1) is recovered in the T → ∞ limit, which is equivalent to a weak-field limit.…”

Section: Jhep10(2021)031mentioning

confidence: 99%

“…We were initially motivated to seek this simple general prescription in order to simplify the construction of a supersymmetric extension of the ModMax electrodynamics and its Born-Infeld-like generalization that we introduced in earlier work [1,5]. It has the additional addvantage of making it more evident why properties of the bosonic theory, such as electromagnetic duality invariance, are inherited by the supersymmetric extension.…”

Section: Jhep10(2021)031 7 Conclusionmentioning

confidence: 99%

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ModMax meets Susy

Bandos

Lechner

Sorokin

et al. 2021

J. High Energ. Phys.

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We give a prescription for $$ \mathcal{N} $$ N = 1 supersymmetrization of any (four-dimensional) nonlinear electrodynamics theory with a Lagrangian density satisfying a convexity condition that we relate to semi-classical unitarity. We apply it to the one-parameter ModMax extension of Maxwell electrodynamics that preserves both electromagnetic duality and conformal invariance, and its Born-Infeld-like generalization, proving that duality invariance is preserved. We also establish superconformal invariance of the superModMax theory by showing that its coupling to supergravity is super-Weyl invariant. The higher-derivative photino-field interactions that appear in any supersymmetric nonlinear electrodynamics theory are removed by an invertible nonlinear superfield redefinition.

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Section: Jhep10(2021)031mentioning

confidence: 60%

Section: Jhep10(2021)031mentioning

confidence: 99%

Section: Jhep10(2021)031 7 Conclusionmentioning

confidence: 99%

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ModMax meets Susy

Bandos

Lechner

Sorokin

et al. 2021

J. High Energ. Phys.

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“…In other words, for the 6D chiral 2-form theories there is exactly the same number "two" of independent Lorentz-invariants as in D = 4 (e.g. like P 1 and P 2 in this paper) which can be used to construct their consistent non-linear generalizations, which are always related to those in 4D theory [47].…”

Section: Jhep04(2021)187mentioning

confidence: 91%

“…It has been shown in ref. [47] that in 6D there is a unique non-linear conformal modification of the free chiral 2-form theory which is related to a non-linear modification of 4D Maxwell electrodynamics by dimensional reduction (see also [59]). It would be of interest to investigate the TT deformation for a 6D non-linear theory of the so-called chiral 2-forms whose 3-form field strength satisfies a self-duality condition.…”

Section: Jhep04(2021)187mentioning

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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Introductory Notes on Non‐linear Electrodynamics and its Applications

Sorokin

2022

Fortschritte der Physik

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In 1933-1934 Born and Infeld constructed the first non-linear generalization of Maxwell's electrodynamics that turned out to be a remarkable theory in many respects. In 1935 Heisenberg and Euler computed a complete effective action describing non-linear corrections to Maxwell's theory due to quantum electron-positron one-loop effects. Since then, these and a variety of other models of non-linear electrodynamics proposed in the course of decades have been extensively studied and used in a wide range of areas of theoretical physics including string theory, gravity, cosmology and condensed matter (CMT). In these notes I will overview general properties of non-linear electrodynamics and particular models which are distinguished by their symmetries and physical properties, such as a recently discovered unique non-linear modification of Maxwell's electrodynamics which is conformal and duality invariant. I will also sketch how non-linear electromagnetic effects may manifest themselves in physical phenomena (such as vacuum birefringence), in properties of gravitational objects (e.g. charged black holes) and in the evolution of the universe, and can be used, via gravity/CMT holography, for the description of properties of certain conducting and insulating materials.

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On p-form gauge theories and their conformal limits

Cited by 77 publications

References 69 publications

ModMax meets Susy

ModMax meets Susy

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

Introductory Notes on Non‐linear Electrodynamics and its Applications

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