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Non-abelian tri-vector deformations in d=11 supergravity
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abstract
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 AdS${}_4 \times \mathbb{S}^7$ solution in $d=11$ supergravity. We present two new supergravity solutions corresponding to non-abelian non-unimodular tri-vector deformations of AdS${}_4 \times \mathbb{S}^7$.
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Cited by 1 Pith paper
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On integrability of tri-vector deformed Type II string
Poincaré sections and Lyapunov exponents for particular string embeddings survive tri-vector deformation of AdS4 times CP3, indicating possible classical integrability.
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