333 citations · 837 across the 39 of their papers we have counts for
5 papers · 1 filter
Momentum section on Courant algebroid and constrained Hamiltonian mechanics
Noriaki Ikeda
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 algeb…
Global Aspects of Doubled Geometry and Pre-rackoid
Noriaki Ikeda, Shin Sasaki
The integration problem of a C-bracket and a Vaisman (metric, pre-DFT) algebroid which are geometric structures of double field theory (DFT) is analyzed. We introduce a notion of a…
Momentum sections in Hamiltonian mechanics and sigma models
Noriaki Ikeda
We show a constrained Hamiltonian system and a gauged sigma model have a structure of a momentum section and a Hamiltonian Lie algebroid theory recently introduced by Blohmann and…
On the relation of Lie algebroids to constrained systems and their BV/BFV formulation
Noriaki Ikeda, Thomas Strobl
We observe that a system of irreducible, fiber-linear, first class constraints on T*M is equivalent to the definition of a foliation Lie algebroid over M. The BFV formulation of th…
Current algebras from QP-manifolds in general dimensions
Noriaki Ikeda, Xiaomeng Xu
We propose a new unified formulation of the current algebra theory in general dimensions in terms of supergeometry. We take a QP-manifold, i.e. a differential graded (dg) symplecti…