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 …

We develop a formalism of poly-vector deformations for Type IIB backgrounds with a block
diagonal metric and non-vanishing self-dual 5-form RR field strength. Making use of the …

In this paper, we aim to study the three-dimensional N= 2 supersymmetric dual gauge
theories on S b 3/Z r in the context of the gauge/YBE correspondence. We consider …

Abstract Classical Yang–Baxter equation governing bi-vector deformations of 10d
supergravity is known to have no solutions along non-abelian compact isometries. By …

Tensor hierarchy of exceptional field theories contains gauge fields satisfying certain
Bianchi identities. We define the full set of fluxes of the SL (5) exceptional field theory …

We extend the formalism of tri-vector deformations to the full SL (5) exceptional field theory
with no truncation assumed thus covering 11D backgrounds of any form. We derive explicit …

Abstract In Bakhmatov et al.(Phys. Rev. D 105 (8): L081904, 2022) we presented a
modification of 11-dimensional supergravity field equations which upon dimensional …

We analyze conditions for a tri-vector deformation of a supergravity background to preserve
some supersymmetry. Working in the formalism of the SL (5) exceptional field theory, we …

Представлен набор различных методов и наблюдений, относящихся к структурам в
трёхмерных системах, подобных тем, которые отвечают за интегрируемость …

We analyze conditions for a tri-vector deformation of a supergravity background to preserve
some supersymmetry. Working in the formalism of the SL (5) exceptional field theory, we …