Polyvector deformations in eleven-dimensional supergravity
| Autor: | Gubarev, Kirill, Musaev, Edvard T. |
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| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Phys. Rev. D 103, 066021 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevD.103.066021 |
| Popis: | We consider 3- and 6-vector deformations of 11-dimensional supergravity backgrounds of the form $M_5\times M_6$ admitting at least 3 Killing vectors. Using flux formulation of the E${}_{6(6)}$ exceptional field theory we derive (sufficient) conditions for the deformations to generate a solution. In the group manifold case these generalisations of the classical Yang-Baxter equation for the case of r-matrices with 3 and 6 indices are shown to reproduce those obtained from exceptional Drinfeld algebra for E${}_{6(6)}$. In general we see an additional constraint, which might be related to higher exceptional Drinfeld algebras. Comment: 20 pages + Appendix |
| Databáze: | arXiv |
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