333 citations · 837 across the 39 of their papers we have counts for
42 papers
Compatible -Differential Forms on Lie Algebroids over (Pre-)Multisymplectic Manifolds
Noriaki Ikeda
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-)s…
The BV action of 3D twisted R-Poisson sigma models
Athanasios Chatzistavrakidis, Noriaki Ikeda, Grgur Šimunić
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 ma…
Higher dimensional Lie algebroid sigma model with WZ term
Noriaki Ikeda
We generalize the -dimensional twisted -Poisson topological sigma model with flux on a target Poisson manifold to a Lie algebroid. Analyzing consistency of constraints in…
Homotopy momentum sections on multisymplectic manifolds
Yuji Hirota, Noriaki Ikeda
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 wit…
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…
From BFV to BV and spacetime covariance
Noriaki Ikeda, Thomas Strobl
The BFV formulation of a given gauge theory is usually significantly easier to obtain than its BV formulation. Grigoriev and Damgaard introduced simple formulas for obtaining the l…