Gauging the higher-spin-like symmetries by the Moyal product

Scientific paper - Original scientific paper

• Author: Maro Cvitan
• Author: Predrag Dominis Prester
• Author: Stefano Giaccari
• Author: Mateo Paulišić
• Author: Ivan Vuković
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract (english)

We analyze a novel approach to gauging rigid higher derivative (higher spin) symmetries of free relativistic actions defined on flat spacetime, building on the formalism originally developed by Bonora et al. and Bekaert et al. in their studies of linear coupling of matter fields to an infinite tower of higher spin fields. The off-shell definition is based on fields defined on a 2d-dimensional master space equipped with a symplectic structure, where the infinite dimensional Lie algebra of gauge transformations is given by the Moyal commutator. Using this algebra we construct well-defined weakly non-local actions, both in the gauge and the matter sector, by mimicking the Yang-Mills procedure. The theory allows for a description in terms of an infinite tower of higher spin spacetime fields only on-shell. Interestingly, Euclidean theory allows for such a description also off-shell. Owing to its formal similarity to non-commutative field theories, the formalism allows for the introduction of a covariant potential which plays the role of the generalised vielbein. This covariant formulation uncovers the existence of other phases and shows that the theory can be written in a matrix model form. The symmetries of the theory are analyzed and conserved currents are explicitly constructed. By studying the spin-2 sector we show that the emergent geometry is closely related to teleparallel geometry, in the sense that the induced linear connection is opposite to Weitzenböck’s.

• Keywords (english): Gauge Symmetry; Higher Spin Symmetry; Non-Commutative Geometry; Higher Spin Gravity
• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: Journal of High Energy Physics
• Numbering: vol. 2021, no. 6, 144
• e-ISSN: 1029-8479
• DOI: https://doi.org/10.1007/JHEP06(2021)144
• URN:NBN: urn:nbn:hr:217:648411
• Publication: 2021-06-24
• Document URL: https://link.springer.com/10.1007/JHEP06(2021)144
• Type of resource: Text
• Access conditions: Open access
• Public note: © The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Received: March 3, 2021. Revised: April 23, 2021. Accepted: April 30, 2021. Published: June 24, 2021.
• Created on: 2024-09-22 21:15:05