Duality-invariant superconformal higher-spin models

Kuzenko, Sergei M.; Raptakis, Emmanouil S. N.

doi:10.1103/physrevd.104.125003

Cited by 23 publications

(18 citation statements)

References 85 publications

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“…Directly relevant for this paper are the Born-Infeld-like extensions of the 4d ModMax theory that have been constructed in [45] and then supersymmetrised in [46,47], see also [57]. Written in terms of the γ and α 2 parameters, the Lagrangian for the Born-Infeld-ModMax theory takes the following form…”

Section: Introductionmentioning

confidence: 99%

“…An intuition that this might be the case comes from the the auxiliary field formulation of duality invariant theories [38,58]. In this framework, Maxwell theory with γ = 0 does not seem to have any special property compared to the ModMax case with γ = 0 [47,57]. This suggests that, if a Lagrangian flow exists for γ = 0 it should then exist for any γ, as we will indeed prove explicitly in our paper for the non-supersymmetric and N = 1 supersymmetric cases.…”

Section: Introductionmentioning

confidence: 99%

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On Current-Squared Flows and ModMax Theories

Ferko,

Smith,

Tartaglino-Mazzucchelli

2022

Preprint

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We show that the recently introduced ModMax theory of electrodynamics and its Born-Infeld-like generalization are related by a flow equation driven by a quadratic combination of stress-energy tensors. The operator associated to this flow is a 4d analogue of the T T deformation in two dimensions. This result generalizes the observation that the ordinary Born-Infeld Lagrangian is related to the free Maxwell theory by a current-squared flow. As in that case, we show that no analogous relationship holds in any other dimension besides d = 4. We also demonstrate that the N = 1 supersymmetric version of the ModMax-Born-Infeld theory obeys a related supercurrent-squared flow which is formulated directly in N = 1 superspace.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On Current-Squared Flows and ModMax Theories

Ferko,

Smith,

Tartaglino-Mazzucchelli

2022

Preprint

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“…Our N = 2 superconformal higher-spin models have already been demonstrated to be U(1) duality invariant [42]. It would be interesting to analyse whether their N > 2 cousins constructed in section 4 share this remarkable property.…”

Section: Jhep12(2021)210 5 Conclusionmentioning

confidence: 78%

“…from N = 2 to N = 1 conformal superspace (see also [42]). Omitting the technical details of the reduction, one arrives at the following:…”

Section: Jhep12(2021)210mentioning

confidence: 99%

Extended superconformal higher-spin gauge theories in four dimensions

Kuzenko

Raptakis

2021

J. High Energ. Phys.

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Using the off-shell formulation for $$ \mathcal{N} $$ N = 2 conformal supergravity in four dimensions, we describe superconformal higher-spin multiplets of conserved currents in a curved background and present their associated unconstrained gauge prepotentials. The latter are used to construct locally superconformal chiral actions, which are demonstrated to be gauge invariant in arbitrary conformally flat backgrounds. The main $$ \mathcal{N} $$ N = 2 results are then generalised to the $$ \mathcal{N} $$ N -extended case. We also present the gauge-invariant field strengths for on-shell massless higher-spin $$ \mathcal{N} $$ N = 2 supermultiplets in anti-de Sitter space. These field strengths prove to furnish representations of the $$ \mathcal{N} $$ N = 2 superconformal group.

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“…Another deformation of ModMax which breaks duality invariance was proposed in [59]. N = 1 supersymmetric extensions of ModMax and the generalized Born-Infeld electrodynamics were constructed in [35,60], and in [61] ModMax has been generalized to four-dimensional duality-invariant (super)conformal non-linear models of higher-spin gauge fields. A 't Hooft anomaly in the ModMax theory has been studied in [62].…”

Section: Modmax Electrodynamicsmentioning

confidence: 99%

Introductory Notes on Non-linear Electrodynamics and its Applications

Sorokin¹

2021

Preprint

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In 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 1936 Heisenberg and Euler computed an 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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Duality-invariant superconformal higher-spin models

Cited by 23 publications

References 85 publications

On Current-Squared Flows and ModMax Theories

On Current-Squared Flows and ModMax Theories

Extended superconformal higher-spin gauge theories in four dimensions

Introductory Notes on Non-linear Electrodynamics and its Applications

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