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High Energy Physics - Theory

Title: On the vector conformal models in an arbitrary dimension

Abstract: 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 and two of the new models are described by local actions with auxiliary compensating scalar fields.
Comments:
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)
Cite as: arXiv:2107.13125 [hep-th]
  (or arXiv:2107.13125v2 [hep-th] for this version)

Submission history

From: Wagno Cesar e Silva [view email]
[v1] Wed, 28 Jul 2021 01:53:51 GMT (13kb)
[v2] Sat, 31 Jul 2021 03:56:11 GMT (14kb)
[v3] Wed, 8 Sep 2021 15:35:14 GMT (16kb)
[v4] Mon, 4 Oct 2021 01:30:27 GMT (16kb)

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