57 citations · 304 across the 28 of their papers we have counts for
28 papers
Compatibility of Poisson--Lie transformations with symmetries of Generalized Supergravity Equations
Ladislav Hlavaty
We investigate two types of transformations that keep NS-NS Generalized Supergravity Equations satisfied : -symmetry that shifts dilaton and gauge transformations that change bo…
Classification of six-dimensional Leibniz algebras ${\mathcal E}_3
Ladislav Hlavaty
Leibniz algebras were introduced as algebraic structure underlying U-duality. Algebras derived from Bianchi three-dimensional Lie algebras are cla…
Poisson-Lie T-plurality revisited. Is T-duality unique?
Ladislav Hlavaty, Ivo Petr
We investigate (non-)Abelian T-duality from the perspective of Poisson-Lie T-plurality. We show that sigma models related by duality/plurality are given not only by Manin triples o…
Plane-parallel waves as duals of the flat background III: T-duality with torsionless -field
Ladislav Hlavaty, Ivo Petr, Filip Petrasek
By addition of non-zero, but torsionless -field, we expand the classification of (non-)Abelian T-duals of the flat background in four dimensions with respect to one-, two-, thre…
Plane-parallel waves as duals of the flat background II: T-duality with spectators
Filip Petrasek, Ladislav Hlavaty, Ivo Petr
We give the classification of T-duals of the flat background in four dimensions with respect to one-, two-, and three-dimensional subgroups of the Poincaré group using non-Abelian…
On uniqueness of T-duality with spectators
Ladislav Hlavaty, Filip Petrasek
We investigate the dependence of nonabelian T-duality on various identification of the group of target space isometries of nonlinear sigma models with its orbits, i.e. with respect…