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Deformations of duality-symmetric theories

par Bekaert, Xavier ;Cucu, Sorin
Référence Nuclear physics. B, 610, 3, page (433-460)
Publication Publié, 2001-09

Article révisé par les pairs

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Résumé :

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. © 2001 Elsevier Science B.V.