The article entitled “ Generalized 11D supergravity equations from tri-vector deformations” based on the studies conducted by Department of Mathematics member Prof. Dr. Aybike Özer was published in The European Physical Journal C.

Superstring theory is the leading candidate for a theory of quantum gravity. There are five consistent theories of superstrings, all related under a web of duality symmetries. It is conjectured that these theories are different limits of a unified theory, called the M-theory. At low energies, the dynamics of M-theory is described by eleven dimensional supergravity, in a similar way to how superstring theories are described, at low energies, by ten dimensional supergravity theories. Recently, a deformation of equations of motion for Type II supergravity has been discovered and it has been understood that these equations can be derived from a Yang-Baxter (YB) deformation of a duality covariant reformulation of Type II supergravity. The YB deformation must be induced by a non-unimodular Rmatrix and the resulting equations are called generalized supergravity equations. In this paper we explored whether a similar deformation can be applied to a duality covariant formulation of eleven dimensional supergravity. We succeeded in showing that a deformation of equations of motion of eleven dimensional supergravity theory can be obtained by applying a non-unimodular tri-vector YangBaxter deformation which breaks the initial local diffeomorphism symmetry in 11 dimensions down to separate coordinate transformations in external 7 and internal 4 directions. They also presented some non-trivial solutions to these equations.

https://link.springer.com/article/10.1140/epjc/s10052-022-11163-6