Fluid dynamics is formulated as an intersection problem on a symplectic manifold associated with spacetime, yielding a geometric derivation of covariant hydrodynamics and extensions to multicomponent and anomalous fluids.
On the AKSZ formulation of the Poisson sigma model
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
We review and extend the Alexandrov-Kontsevich-Schwarz-Zaboronsky construction of solutions of the Batalin-Vilkovisky classical master equation. In particular, we study the case of sigma models on manifolds with boundary. We show that a special case of this construction yields the Batalin-Vilkovisky action functional of the Poisson sigma model on a disk. As we have shown in a previous paper, the perturbative quantization of this model is related to Kontsevich's deformation quantization of Poisson manifolds and to his formality theorem. We also discuss the action of diffeomorphisms of the target manifolds.
representative citing papers
Introduces Hamiltonian Lie algebroids over Dirac structures as a generalization and applies them to construct gauged Poisson and Dirac sigma models.