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- Title
Higher Dimensional Lie Algebroid Sigma Model with WZ Term.
- Authors
Noriaki Ikeda
- Abstract
We generalize the (n + 1)-dimensional twisted R-Poisson topological sigma model with flux on a target Poisson manifold to a Lie algebroid. Analyzing the consistency of constraints in the Hamiltonian formalism and the gauge symmetry in the Lagrangian formalism, geometric conditions of the target space to make the topological sigma model consistent are identified. The geometric condition is an universal compatibility condition of a Lie algebroid with a multisymplectic structure. This condition is a generalization of the momentum map theory of a Lie group and is regarded as a generalization of the momentum section condition of the Lie algebroid.
- Subjects
ALGEBROIDS; LAGRANGIAN functions; LIE groups; GEOMETRY; FLUX (Energy)
- Publication
Universe (2218-1997), 2021, Vol 7, Issue 10, p1
- ISSN
2218-1997
- Publication type
Article
- DOI
10.3390/universe7100391