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Deformations of duality-symmetric theories

Xavier Bekaert·Sorin Cucu
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Abstract

We prove that a sum of free non-covariant duality-symmetric actions does not allow consistent, continuous and local self-interactions that deform the gauge transformations. For instance, non-Abelian deformations are not allowed, even in 4 dimensions where Yang-Mills type interactions of 1-forms are allowed in the non-manifestly duality-symmetric formulation. This suggests that non-Abelian duality should require to leave the standard formalism of perturbative local field theories. The analyticity of self-interactions for a single duality-symmetric gauge field in four dimensions is also analyzed.

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Xavier Bekaert, Sorin Cucu. 2001-05-09. Deformations of duality-symmetric theories. https://doi.org/10.1016/s0550-3213(01)00260-7

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