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Consistent interactions and involution

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arxiv 1210.6821 v2 pith:E2TZG6V6 submitted 2012-10-25 hep-th gr-qcmath-phmath.MP

D.S. Kaparulin , S.L. Lyakhovich , A.A. Sharapov This is my paper · ORCID
classification hep-thgr-qcmath-phmath.MP
keywords consistentequationsinteractionsmethodfieldshamiltonianinvolutionadmits
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Starting from the concept of involution of field equations, a universal method is proposed for constructing consistent interactions between the fields. The method equally well applies to the Lagrangian and non-Lagrangian equations and it is explicitly covariant. No auxiliary fields are introduced. The equations may have (or have no) gauge symmetry and/or second class constraints in Hamiltonian formalism, providing the theory admits a Hamiltonian description. In every case the method identifies all the consistent interactions.

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Cited by 1 Pith paper

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  1. Electromagnetic Interactions of Massive Higher-Spin Fields in 3D via Chiral Theory

    hep-th 2024-12 conditional novelty 7.0 of 10

    Massive higher-spin fields in 3D can couple to electromagnetic backgrounds via the Bogomolny equation, with g=1/s, obtained by dimensional reduction of 4D higher-spin self-dual Yang-Mills theory.

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