Higher-spin Yang–Mills, amplitudes and self-duality

[en] AbstractThe existence of interacting higher-spin theories is tightly constrained by many no-go theorems. In this paper, we construct a chiral, higher-spin generalization of Yang–Mills theory in flat space which avoids these no-go theorems and has non-trivial tree-level scattering amplitudes with some higher-spin external legs. The fields and action are complex, so the theory is non-unitary and parity-violating, yet we find surprisingly compact formulae for all-multiplicity tree-level scattering amplitudes in the maximal helicity violating (MHV) sector, where the two negative helicity particles have identical but arbitrary spin. This is possible because the theory admits a perturbative expansion around its self-dual sector. Using twistor theory, we prove the classical integrability of this self-dual sector and show that it can be described on spacetime by an infinite tower of interacting massless scalar fields. We also give a twistor construction of the full theory and use it to derive the formula for the MHV amplitude.

Disciplines :

Physics

Author, co-author :

Adamo, Tim

Tran, Vuong ; Université de Mons - UMONS > Faculté des Sciences > Service de Physique de l'Univers, Champs et Gravitation

Language :

English

Title :

Higher-spin Yang–Mills, amplitudes and self-duality

Publication date :

28 April 2023

Journal title :

Letters in Mathematical Physics

ISSN :

0377-9017

eISSN :

1573-0530

Publisher :

Springer Science and Business Media LLC

Volume :

113

Issue :

Peer reviewed :

Peer Reviewed verified by ORBi

Additional URL :

https://link.springer.com/content/pdf/10.1007/s11005-023-01673-z.pdf

Research unit :

S827 - Physique de l'Univers, Champs et Gravitation

Research institute :

R150 - Institut de Recherche sur les Systèmes Complexes

Funders :

Royal Society
Leverhulme Trust
HORIZON EUROPE European Research Council
Fonds De La Recherche Scientifique - FNRS

Available on ORBi UMONS :

since 05 May 2023

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