For an n-plectic geometry, and for a vector field, a Hamiltonian form for is, if it exists, a differential form such that
For this reduces to the notion of a Hamiltonian function on a symplectic manifold.
If a Hamiltonian form for exists then is called a Hamiltonian vector field.
The Hamiltonian forms are the local classical observables/prequantum observables in higher prequantum field theory, often called local currents. They form the Poisson-bracket Lie n-algebra of local observables.
higher and integrated Kostant-Souriau extensions:
(∞-group extension of ∞-group of bisections of higher Atiyah groupoid for -principal ∞-connection)
(extension are listed for sufficiently connected )
Last revised on September 18, 2017 at 10:43:53. See the history of this page for a list of all contributions to it.