nLab Pavol Ševera

Pavol Ševera is a mathematical physicist originally from Bratislava.

• website

Selected writings

On Courant algebroids:

• Pavol Ševera, Letters to A. Weinstein (web, arXiv:1707.00265)

On symplectic Lie n-algebroids:

• Pavol Ševera, Some title containing the words "homotopy" and "symplectic", e.g. this one, based on a talk at “Poisson 2000”, CIRM Marseille, June 2000; (arXiv:0105080)

On non-abelian T-duality:

• Ctirad Klimcik, Pavol Ševera, Dual non-Abelian duality and the Drinfeld double, Physics Letters B, Volume 351, Issue 4, 1 June 1995, Pages 455-462 (doi:10.1016/0370-2693(95)00451-P)

specifically applied to type II supergravity:

• Pavol Ševera, Fridrich Valach, Courant algebroids, Poisson-Lie T-duality, and type II supergravities (arXiv:1810.07763)

On duality for higher gauge theories, subsuming non-abelian T-duality and electric-magnetic duality, via boundary conditions for AKSZ sigma-models:

• Ján Pulmann, Pavol Ševera, Fridrich Valach, A non-abelian duality for (higher) gauge theories (arXiv:1909.06151)

Related $n$Lab entries

∞-Chern-Simons theory from binary and non-degenerate invariant polynomial

$n \in \mathbb{N}$	symplectic Lie n-algebroid	Lie integrated smooth ∞-groupoid = moduli ∞-stack of fields of $(n+1)$-d sigma-model	higher symplectic geometry	$(n+1)$d sigma-model	dg-Lagrangian submanifold/ real polarization leaf	= brane	(n+1)-module of quantum states in codimension $(n+1)$	discussed in:
0	symplectic manifold	symplectic manifold	symplectic geometry		Lagrangian submanifold	–	ordinary space of states (in geometric quantization)	geometric quantization
1	Poisson Lie algebroid	symplectic groupoid	2-plectic geometry	Poisson sigma-model	coisotropic submanifold (of underlying Poisson manifold)	brane of Poisson sigma-model	2-module = category of modules over strict deformation quantiized algebra of observables	extended geometric quantization of 2d Chern-Simons theory
2	Courant Lie 2-algebroid	symplectic 2-groupoid	3-plectic geometry	Courant sigma-model	Dirac structure	D-brane in type II geometry
$n$	symplectic Lie n-algebroid	symplectic n-groupoid	(n+1)-plectic geometry	$d = n+1$ AKSZ sigma-model

(adapted from Ševera 00)

• Poisson-Lie T-duality

category: people