Categorified Symplectic Geometry and the Classical String

@article{Baez2009CategorifiedSG,
  title={Categorified Symplectic Geometry and the Classical String},
  author={John C. Baez and Alexander E. Hoffnung and Christopher L. Rogers},
  journal={Communications in Mathematical Physics},
  year={2009},
  volume={293},
  pages={701-725}
}
A Lie 2-algebra is a ‘categorified’ version of a Lie algebra: that is, a category equipped with structures analogous to those of a Lie algebra, for which the usual laws hold up to isomorphism. In the classical mechanics of point particles, the phase space is often a symplectic manifold, and the Poisson bracket of functions on this space gives a Lie algebra of observables. Multisymplectic geometry describes an n-dimensional field theory using a phase space that is an ‘n-plectic manifold’: a… Expand
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