356 citations · 1.2k across the 33 of their papers we have counts for
14 papers · 1 filter
Transverse generalized metrics and 2d sigma models
Pavol Severa, Thomas Strobl
We reformulate the compatibility condition between a generalized metric and a small (non-maximal rank) Dirac structure in an exact Courant algebroid found in the context of the gau…
Courant algebroids, Poisson-Lie T-duality, and type II supergravities
Pavol Ševera, Fridrich Valach
We reexamine the notions of generalized Ricci tensor and scalar curvature on a general Courant algebroid, reformulate them using objects natural w.r.t. pull-backs and reductions, a…
Ricci flow, Courant algebroids, and renormalization of Poisson--Lie T-duality
Pavol Ševera, Fridrich Valach
We use a generalized Ricci tensor, defined for generalized metrics in Courant algebroids, to show that Poisson-Lie T-duality is compatible with the 1-loop renormalization group.
Symplectic and Poisson geometry of the moduli spaces of flat connections over quilted surfaces
David Li-Bland, Pavol Severa
In this paper we study the symplectic and Poisson geometry of moduli spaces of flat connections over quilted surfaces. These are surfaces where the structure group varies from regi…
Current algebra functors and extensions
Anton Alekseev, Pavol Severa, Cornelia Vizman
We show how the fundamental cocycles on current Lie algebras and the Lie algebra of symmetries for the sigma model are obtained via the current algebra functors. We present current…
Integration of Exact Courant Algebroids
David Li-Bland, Pavol Severa
In this paper, we describe an integration of exact Courant algebroids to symplectic 2-groupoids, and we show that the differentiation procedure from [26] inverts our integration.