The Third Way to Interacting $p$-form Theories
Autor: | Broccoli, Matteo, Deger, Nihat Sadik, Theisen, Stefan |
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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 |
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