Covariant actions for models with non-linear twisted self-duality

Abstract

We describe a systematic way of the generalization, to models with non-linear duality, of the space-time covariant and duality-invariant formulation of duality-symmetric theories in which the covariance of the action is ensured by the presence of a single auxiliary scalar field. It is shown that the duality-symmetric action should be invariant under the two local symmetries characteristic of this approach, which impose constraints on the form of the action similar to those of Gaillard and Zumino and in the non-covariant formalism. We show that the (twisted) self-duality condition obtained from this action upon integrating its equations of motion can always be recast in a manifestly covariant form which is independent of the auxiliary scalar and thus corresponds to the conventional on-shell duality-symmetric covariant description of the same model. Supersymmetrization of this construction is briefly discussed.

1+21 pages, v2: typos corrected, references added

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Cited by in corpus (23)

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• Bispinor Auxiliary Fields in Duality-Invariant Electrodynamics Revisited
• Self-interacting chiral p-forms in higher dimensions
• Superconformal duality-invariant models and $\mathcal{N}=4$ SYM effective action
• New E77 invariants and amplitudes
• Polynomial Duality-Symmetric Lagrangians for Free p-Forms
• Duality invariant self-interactions of abelian p-forms in arbitrary dimensions
• Unifying the PST and the auxiliary tensor field formulations of 4D self-duality
• Unifying Approaches to Chiral Bosons
• Manifestly duality-invariant interactions in diverse dimensions
• Partition Function of Chiral Boson on 2-Torus from Floreanini-Jackiw Lagrangian
• Note on the self-duality of gauge fields in topologically nontrivial spacetime
• A covariantisation of M5-brane action in dual formulation
• Towards 2+4 formulation of M5-brane
• Self-duality for $\mathcal{N}$-extended superconformal gauge multiplets
• Dual formulation of covariant nonlinear duality-symmetric action of kappa-symmetric D3-brane
• Deformation of d=4, N> 4 Supergravities Breaks Nonlinear Local Supersymmetry
• Reductions of Exceptional Field Theories
• Democratic Lagrangians for Nonlinear Electrodynamics
• Nonlinear (chiral) p-form electrodynamics
• Auxiliary tensor fields for Sp(2,R) self-duality
• Exotic Aspects of Extended Field Theories