Regular Article - Theoretical Physics
Polynomial duality-symmetric lagrangians for free p-forms
Department of Physics, Faculty of Science, Chulalongkorn University, Phayathai Rd., 10330, Bangkok, Thailand
2 Theoretische Natuurkunde, Vrije Universiteit Brussel and The International Solvay Institutes, Pleinlaan 2, 1050, Brussels, Belgium
3 Scuola Normale Superiore and INFN, Piazza dei Cavalieri 7, 56126, Pisa, Italy
4 Blackett Laboratory, Imperial College London, SW7 2AZ, London, UK
Accepted: 12 March 2021
Published online: 25 March 2021
We explore the properties of polynomial Lagrangians for chiral p-forms previously proposed by the last named author, and in particular, provide a self-contained treatment of the symmetries and equations of motion that shows a great economy and simplicity of this formalism. We further use analogous techniques to construct polynomial democratic Lagrangians for general p-forms where electric and magnetic potentials appear on equal footing as explicit dynamical variables. Due to our reliance on the differential form notation, the construction is compact and universally valid for forms of all ranks, in any number of dimensions.
© The Author(s) 2021
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