https://doi.org/10.1140/epjc/s10052-019-7356-5
Regular Article - Theoretical Physics
Poisson–Lie identities and dualities of Bianchi cosmologies
1
Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Prague, Czech Republic
2
Faculty of Information Technology, Czech Technical University in Prague, Prague, Czech Republic
* e-mail: ivo.petr@fit.cvut.cz
Received:
24
July
2019
Accepted:
29
September
2019
Published online:
17
October
2019
We investigate a special class of Poisson–Lie T-plurality transformations of Bianchi cosmologies invariant with respect to non-semisimple Bianchi groups. For six-dimensional semi-Abelian Manin triples 
containing Bianchi algebras 
we identify general forms of Poisson–Lie identities and dualities. We show that these can be decomposed into simple factors, namely automorphisms of Manin triples, B-shifts, 
-shifts, and “full” or “factorized” dualities. Further, we study effects of these transformations and utilize the decompositions to obtain new backgrounds which, supported by corresponding dilatons, satisfy Generalized Supergravity Equations.
© The Author(s), 2019
