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

Znanstveni rad - Izvorni znanstveni rad

• Autor: Maro Cvitan
• Autor: Predrag Dominis Prester
• Autor: Stefano Giaccari
• Autor: Mateo Paulišić
• Autor: Ivan Vuković
• Autorova ustanova: Sveučilište u Zagrebu; Prirodoslovno-matematički fakultet; (Fizički odsjek)
• Znanstveno / umjetničko područje, polje i grana: PRIRODNE ZNANOSTI; Fizika

Sažetak (engleski)

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.

• Ključne riječi (engleski): Gauge Symmetry; Higher Spin Symmetry; Non-Commutative Geometry; Higher Spin Gravity
• Jezik: engleski
• Vrsta publikacije: Znanstveni rad - Izvorni znanstveni rad
• Status objave: Objavljen
• Vrsta recenzije: Recenziran - međunarodna recenzija
• Verzija publikacije: Objavljena verzija rada (izdavačev PDF)
• Naslov časopisa: Journal of High Energy Physics
• Brojčani podaci: vol. 2021, br. 6, 144
• e-ISSN: 1029-8479
• DOI: https://doi.org/10.1007/JHEP06(2021)144
• URN:NBN: urn:nbn:hr:217:648411
• Datum objave publikacije: 2021-06-24
• URL dokumenta: https://link.springer.com/10.1007/JHEP06(2021)144
• Vrsta resursa: Tekst
• Prava pristupa: Otvoreni pristup
• Javna napomena: © 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.
• Datum i vrijeme pohrane: 2024-09-22 21:15:05