*Correspondence: [email protected] 1Quantum Systems Unit, Okinawa Institute of Science and Technology Graduate University, Okinawa, 904-0495, Japan Full list of author information is available at the end of the article Abstract Quantum technologies based on adiabatic techniques can be highly effective, but often at the cost of being very slow. Here we introduce a set of experimentall...

In this paper we present an application of the groupoid theory to study relevant case material evolution phenomena, process morphogenesis. Our is inspired by Walter Noll's theories continuous distributions and provides a unifying very simple framework these phenomena. We explicit equation, morphogenesis calculate associated phenomenon.

We undertake a systematic analysis of non-geometric backgrounds in string theory by seeking stringy liftings of a class of gauged supergravity theories. In addition to conventional flux compactifications and non-geometric T-folds with T-duality transition functions, we find a new class of non-geometric backgrounds with non-trivial dependence on the dual coordinates that are conjugate to the str...

It is shown that the BRST operator of twisted N = 4 Yang-Mills theory in four dimensions is locally the same as the BRST operator of a fully decomposed non-Abelian gerbe. Using locally defined Yang-Mills theories we describe non-perturbative backgrounds that carry a novel magnetic flux. Given by elements of the crossed module G ⋉ AutG, these nongeometric fluxes can be classified in terms of the...

A geometric formulation of an important class of non-local transformations is presented. The contemporary geometric theory of Bäcklund transformations (BT) [1–4] is based on certain integrability conditions for a system of differential equations which are determine it. These equations are written in terms of connections in the submanifold of a jet-bundle foliation. One of the first nontrivial e...