${\cal W}$ algebras are L$_\infty$ algebras
| Autor: | Blumenhagen, Ralph, Fuchs, Michael, Traube, Matthias |
|---|---|
| Rok vydání: | 2017 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP07(2017)060 |
| Popis: | It is shown that the closure of the infinitesimal symmetry transformations underlying classical ${\cal W}$ algebras give rise to L$_\infty$ algebras with in general field dependent gauge parameters. Therefore, the class of well understood ${\cal W}$ algebras provides highly non-trivial examples of such strong homotopy Lie-algebras. We develop the general formalism for this correspondence and apply it explicitly to the classical ${\cal W}_3$ algebra. Comment: 15 pages; v2: typos corrected, minor changes |
| Databáze: | arXiv |
| Externí odkaz: |
|