Non-abelian tri-vector deformations in \(d = 11\) supergravity. (English) Zbl 1437.83146
Summary: A truncation of the SL(5) Exceptional Field Theory that allows to describe spacetimes of the form \(M_4 \times M_7\) with the 4-form flux on \(M_4\) is constructed. The resulting theory is used to test the recently proposed tri-vector generalisation of Yang-Baxter deformations applied to the \( \mathrm{AdS}_4 \times \mathbb{S}^7\) solution of \(d = 11\) supergravity. We present two new supergravity solutions corresponding to non-abelian non-unimodular tri-vector deformations of \( \mathrm{AdS}_4 \times \mathbb{S}^7\).
MSC:
| 83E50 | Supergravity |
| 81R05 | Finite-dimensional groups and algebras motivated by physics and their representations |
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