On the vector conformal models in an arbitrary dimension
Centro de Astropartículas y Física de Altas Energías, Departamento de Física Teórica, Universidad de Zaragoza, E-50009, Zaragoza, Spain
2 Departamento de Física, ICE, Universidade Federal de Juiz de Fora, 36036-900, Juiz de Fora, Minas Gerais, Brazil
Accepted: 3 October 2021
Published online: 18 October 2021
The conventional model of the gauge vector field is invariant under the local conformal symmetry only in the four-dimensional space (4d). Conformal generalization to an arbitrary dimension d is impossible even for the free theory, differently from scalar and fermion fields. We discuss how to overcome this restriction and eventually construct four vector conformal actions. One of these models is the particular case of the previously known conformal theory of n-forms and others are new, up to our knowledge. In some of these models, the gauge invariance is preserved, two of the new models are described by local actions with auxiliary compensating scalar fields, and the extended version of one of these models is on shell equivalent to the last, non-analytic, purely metric version.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021