Novel algebraic structures from the polysymplectic form in field theory
High Energy Physics - Theory
2008-02-03 v2 alg-geom
dg-ga
Algebraic Geometry
Differential Geometry
Quantum Algebra
q-alg
Abstract
The polysymplectic -form is introduced as an analogue of the symplectic form for the De Donder-Weyl polymomentum Hamiltonian formulation of field theory. The corresponding Poisson brackets on differential forms are constructed. The analogues of the Poisson algebra are shown to be generalized (non-commutative and higher-order) Gerstenhaber algebras defined in the text.
Cite
@article{arxiv.hep-th/9612255,
title = {Novel algebraic structures from the polysymplectic form in field theory},
author = {I. V. Kanatchikov},
journal= {arXiv preprint arXiv:hep-th/9612255},
year = {2008}
}
Comments
6 pages, LaTeX. Talk at Gropu21, Goslar (Germany) 1996. Typos in math notation fixed, refs updated, minor style improvements