Duality-invariant (super)conformal higher-spin models

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

doi:10.48550/arxiv.2107.02001

Cited by 5 publications

(11 citation statements)

References 78 publications

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“…Another deformation of ModMax which breaks duality invariance was proposed in [73]. N = 1 supersymmetric extensions of Mod-Max and the generalized Born-Infeld electrodynamics were constructed in [39,74], and in [75] 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 [76].…”

Section: Modmax Electrodynamicsmentioning

confidence: 99%

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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Section: Modmax Electrodynamicsmentioning

confidence: 99%

Introductory Notes on Non‐linear Electrodynamics and its Applications

Sorokin

2022

Fortschritte der Physik

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“…This section is devoted to a review of the formalism of U(1) duality rotations for conformal gauge fields developed in [21]. We recall that such a field, φ α(m) α(n) , with m, n ≥ 1, is defined modulo the gauge transformations [35,39,40]…”

Section: Conformal Gauge Fieldsmentioning

confidence: 99%

“…One may then construct U(1) duality-invariant nonlinear models for such fields. They may be shown to satisfy the self-duality equation [21] i…”

Section: Conformal Gauge Fieldsmentioning

confidence: 99%

“…Motivated by the discovery of the ModMax theory [18] and its supersymmetric counterpart [19,20], the formalism of U(1) duality rotations has recently been extended in [21] to higher-spin conformal gauge fields on conformally flat backgrounds and some of their N = 1 and N = 2 superconformal cousins. Specifically, the following types of U(1) duality-invariant dynamical systems were studied in [21]:…”

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confidence: 99%

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Generalised superconformal higher-spin multiplets

Kuzenko

Ponds

Raptakis

2021

J. High Energ. Phys.

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We propose generalised $$ \mathcal{N} $$ N = 1 superconformal higher-spin (SCHS) gauge multiplets of depth t, $$ {\Upsilon}_{\alpha (n)\overset{\cdot }{\alpha }(m)}^{(t)} $$ ϒ α n α ⋅ m t , with n ≥ m ≥ 1. At the component level, for t > 2 they contain generalised conformal higher-spin (CHS) gauge fields with depths t − 1, t and t + 1. The supermultiplets with t = 1 and t = 2 include both ordinary and generalised CHS gauge fields. Super-Weyl and gauge invariant actions describing the dynamics of $$ {\Upsilon}_{\alpha (n)\overset{\cdot }{\alpha }(m)}^{(t)} $$ ϒ α n α ⋅ m t on conformally-flat superspace backgrounds are then derived. For the case n = m = t = 1, corresponding to the maximal-depth conformal graviton supermultiplet, we extend this action to Bach-flat backgrounds. Models for superconformal non-gauge multiplets, which are expected to play an important role in the Bach-flat completions of the models for $$ {\Upsilon}_{\alpha (n)\overset{\cdot }{\alpha }(m)}^{(t)} $$ ϒ α n α ⋅ m t , are also provided. Finally we show that, on Bach-flat backgrounds, requiring gauge and Weyl invariance does not always determine a model for a CHS field uniquely.

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“…Also, the U (1) duality-invariant conformal higher-spin generalization of ModMax, bosonic case and N = 1 superconformal case, has been formulated in Ref. [26].…”

Section: Introductionmentioning

confidence: 99%

Hamiltonian analysis of ModMax nonlinear electrodynamics in the first order formalism

Escobar,

Linares,

Tlatelpa-Mascote

2021

Preprint

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In this work we study the so-called ModMax nonlinear electrodynamics, which is a novel model designed to preserve duality rotations and conformal transformations, such as the Maxwell's equations do. This model allows to study diverse gravitational phenomena when is coupled to General Relativity, in particular charged black holes and gravitational waves. In the present work we focus in the dynamics and Hamiltonian analysis of the model. Specifically, we analyze the propagation of the discontinuities of the field and obtain the corresponding dispersion relations. To perform the Hamiltonian analysis we adopt the first order formalism develop by Plebański and follow the Dirac method for theories with constraints. We derive the effective Hamiltonian, classify all the constraints and identify the degrees of freedom. We prove that the effective Hamiltonian is strictly bounded from below and investigate the existence of non trivial minima.

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Duality-invariant (super)conformal higher-spin models

Cited by 5 publications

References 78 publications

Introductory Notes on Non‐linear Electrodynamics and its Applications

Introductory Notes on Non‐linear Electrodynamics and its Applications

Generalised superconformal higher-spin multiplets

Hamiltonian analysis of ModMax nonlinear electrodynamics in the first order formalism

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