The Third Way to Interacting $p$-form Theories

Autor: Broccoli, Matteo, Deger, Nihat Sadik, Theisen, Stefan
Rok vydání: 2021
Předmět:
Zdroj: Phys. Rev. Lett. 127, 091603 (2021)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevLett.127.091603
Popis: We construct a class of interacting $(d-2)$-form theories in $d$ dimensions that are `third way' consistent. This refers to the fact that the interaction terms in the $p$-form field equations of motion neither come from the variation of an action nor are they off-shell conserved on their own. Nevertheless the full equation is still on-shell consistent. Various generalizations, e.g. coupling them to $(d-3)$-forms, where 3-algebras play a prominent role, are also discussed. The method to construct these models also easily recovers the modified 3$d$ Yang-Mills theory obtained earlier and straightforwardly allows for higher derivative extensions.
Comment: 10 pages, added comments and references, matches in content the published version
Databáze: arXiv