PoS - Proceedings of Science
Volume 412 - RDP online PhD school and workshop "Aspects of Symmetry" (Regio2021) - Session 11
Commutator of higher spin gauge transformation
M. Karapetyan
Full text: pdf
Published on: May 16, 2022
Abstract
In this paper we consider special case of local quartic interaction of higher spin gauge field with
a scalar field. Using Neother’s procedure as a perturbative method and Wolfram Mathematica as
a computational tool, we successfully modelled all main objects in Mathematica and were able
to construct interacting Lagrangian for the constrained higher spin field (physical gauge). The
commutator of the linear on-field gauge transformation was obtained and analyzed. Moreover,
we have demonstrated a generic approach of working with such complex objects in Wolfram
Mathematica. As a result the right hand side of the commutator was classified in respect to gauge
transformations coming from cubic interactions of a scalar with a different higher spin symmetric
tensor fields and mixed symmetry tensor field transformations.
RDP online PhD school and workshop "Aspects of Symmetry"(Regio2021),
8-12 November 2021
Online
∗Speaker
©Copyright owned by the author(s) under the terms of the Creative Commons
Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0). https://pos.sissa.it/
DOI: https://doi.org/10.22323/1.412.0043
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