activity
19952020
most citedDual Non-Abelian Duality and the Drinfeld Double

356 citations · 1.2k across the 33 of their papers we have counts for

collaborators

36 papers

math-ph2020★ 7 cited

Renormalization group flow of Chern-Simons boundary conditions and generalized Ricci tensor

Ján Pulmann, Pavol Ševera, Donald R. Youmans

We find a Chern-Simons propagator on the ball with the chiral boundary condition. We use it to study perturbatively Chern-Simons boundary conditions related to 2-dim -models and…

math.DG2019★ 9 cited

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…

math.DG2018

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…

math.DG2016★ 25 cited

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.

math.DG2013

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…

math.DG2012★ 2 cited

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…