Given a solution to 4D Einstein gravity with an isometry direction, it is known that the
equations of motion are identical to those of a 3D σ model with target space geometry SU (1 …

A bstract Poisson-Lie duality provides an algebraic extension of conventional Abelian and
non-Abelian target space dualities of string theory and has seen recent applications in …

A bstract Generalized dualities had an intriguing incursion into Double Field Theory (DFT) in
terms of local O (d, d) transformations. We review this idea and use the higher derivative …

A family of algebras that extends the Lie algebra of the Drinfel'd double is proposed. This
allows us to systematically construct the generalized frame fields which realize the proposed …

A bstract The exceptional Drinfel'd algebra (EDA) is a Leibniz algebra introduced to provide
an algebraic underpinning with which to explore generalised notions of U-duality in M …

A bstract We explore geometries that give rise to a novel algebraic structure, the Exceptional
Drinfeld Algebra, which has recently been proposed as an approach to study generalised U …

This review is a collection of various methods and observations relevant to structures in
three-dimensional systems similar to those responsible for the integrability of …

Non-Abelian U duality originates from the construction of exceptional Drinfel'd algebra
(EDA), which extends the constriction of the classical Drinfel'd double. This symmetry is a …

We consider 3-and 6-vector deformations of 11-dimensional supergravity backgrounds of
the form M 5× M 6 admitting at least three Killing vectors. Using flux formulation of the E 6 (6) …

A bstract A truncation of the SL (5) Exceptional Field Theory that allows to describe
spacetimes of the form M 4× M 7 with the 4-form flux on M 4 is constructed. The resulting …