☆ 4.0 Article

Three approaches to chiral form interactions

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS (2023)

Democratic Lagrangians for Nonlinear Electrodynamics

Zhirayr Avetisyan et al.

Summary: A Lagrangian for general nonlinear electrodynamics has been constructed that treats electric and magnetic potentials equally. This formulation allows for the straightforward imposition of discrete and continuous electric-magnetic duality symmetries, leading to a simple theory with SO(2) duality invariance. When applied to the conformally invariant case, this construction provides a manifestly duality-symmetric formulation of the recently discovered ModMax theory. The potential generalization of this approach to p-forms in 2p dimensions is briefly discussed.

PHYSICAL REVIEW LETTERS (2021)

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Article Physics, Particles & Fields

Polynomial duality-symmetric lagrangians for free p-forms

Sukruti Bansal et al.

Summary: In this study, we examine the polynomial Lagrangians for chiral p-forms proposed by a particular author, providing a detailed treatment of their symmetries and equations of motion that showcases the efficiency and simplicity of this formalism. Additionally, we extend these techniques to construct polynomial democratic Lagrangians for general p-forms, treating electric and magnetic potentials equally as explicit dynamical variables. By utilizing the differential form notation, our construction is compact and universally applicable to forms of all ranks in any number of dimensions.

EUROPEAN PHYSICAL JOURNAL C (2021)

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Article Physics, Multidisciplinary