Zobrazeno 1 - 10
of 677
pro vyhledávání: '"Ikeda Noriaki"'
Autor:
Hirota, Yuji, Ikeda, Noriaki
In a Hamiltonian Lie algebroid over a pre-symplectic manifold and over a Poisson manifold, we introduce a map corresponding to a comomentum map, called a comomentum section. We show that the comomentum section gives a Lie algebroid morphism among Lie
Externí odkaz:
http://arxiv.org/abs/2405.03533
We study twisted Courant sigma models, a class of topological field theories arising from the coupling of 3D 0-/2-form BF theory and Chern-Simons theory and containing a 4-form Wess-Zumino term. They are examples of theories featuring a nonlinearly o
Externí odkaz:
http://arxiv.org/abs/2401.00425
Autor:
Hirota, Yuji, Ikeda, Noriaki
We study multisymplectic structures taking values in vector bundles with connections from the viewpoint of the Hamiltonian symmetry. We introduce the notion of bundle-valued $n$-plectic structures and exhibit some properties of them. In addition, we
Externí odkaz:
http://arxiv.org/abs/2312.02499
Autor:
Ikeda, Noriaki
We propose a Hamiltonian Lie algebroid and a momentum section over a Dirac structure as a generalization of a Hamiltonian Lie algebroid over a pre-symplectic manifold and one over a Poisson manifold. A Hamiltonian Lie algebroid and a momentum section
Externí odkaz:
http://arxiv.org/abs/2309.10996
Autor:
Ikeda, Noriaki
Publikováno v:
SIGMA 20 (2024), 025, 19 pages
We consider higher generalizations of both a (twisted) Poisson structure and the equivariant condition of a momentum map on a symplectic manifold. On a Lie algebroid over a (pre-)symplectic and (pre-)multisymplectic manifold, we introduce a Lie algeb
Externí odkaz:
http://arxiv.org/abs/2302.08193
We determine the solution to the classical master equation for a 3D topological field theory with Wess-Zumino term and an underlying geometrical structure of a twisted R-Poisson manifold on its target space. The graded geometry of the target space de
Externí odkaz:
http://arxiv.org/abs/2206.03683
Autor:
Hirota, Yuji, Ikeda, Noriaki
Publikováno v:
In Journal of Geometry and Physics September 2024 203
Autor:
Hirota, Yuji, Ikeda, Noriaki
We introduce a notion of a homotopy momentum section on a Lie algebroid over a pre-multisymplectic manifold. A homotopy momentum section is a generalization of the momentum map with a Lie group action and the momentum section on a pre-symplectic mani
Externí odkaz:
http://arxiv.org/abs/2110.12305
Autor:
Ikeda, Noriaki
We generalize the $(n+1)$-dimensional twisted $R$-Poisson topological sigma model with flux on a target Poisson manifold to a Lie algebroid. Analyzing consistency of constraints in the Hamiltonian formalism and the gauge symmetry in the Lagrangian fo
Externí odkaz:
http://arxiv.org/abs/2109.02858
Autor:
Ikeda, Noriaki
We propose a generalization of the momentum map on a symplectic manifold with a Lie algebra action to a Courant algebroid structure. The theory of a momentum section on a Lie algebroid is generalized to the theory compatible with a Courant algebroid.
Externí odkaz:
http://arxiv.org/abs/2104.12091