Poisson–Lie identities and dualities of Bianchi cosmologies
Type of document
článek v časopisejournal article
Peer-reviewed
submittedVersion
Author
Hlavatý L.
Petr I.
Rights
Creative Commons Attribution (CC BY) 4.0http://creativecommons.org/licenses/by/4.0/
openAccess
Metadata
Show full item recordAbstract
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 $\mathfrak{b}\bowtie\mathfrak{a}$ containing Bianchi algebras $\mathfrak{b}$ 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, $\beta$-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.
Collections
- Publikační činnost ČVUT [1342]
Except where otherwise noted, this item's license is described as Creative Commons Attribution (CC BY) 4.0