4 citations · 8 across the 9 of their papers we have counts for
5 papers · 1 filter
Dirac structures on the space of connections
Yuji Hirota, Tosiaki Kori
We shall give a twisted Dirac structure on the space of irreducible connections on a SU(n)-bundle over a three-manifold, and give a family of twisted Dirac structures on the space…
sl(n,H)-Current Algebra on S^3
Tosiaki Kori
We introduce three non-trivial 2-cocycles , k=0,1,2, on the Lie algebra with the aid of the corresponding basis vector fields on , and extend them to 2-…
Extensions of Current Groups on S^3 and the Adjoint Representations
Tosiaki Kori
Let Omega^3(SU(n)) be the Lie group of based mappings from S^3 to SU(n). We construct a Lie group extension of Omega^3(SU(n)) for n>2 by the abelian group of the affine dual space…
Prequantization of the moduli space of flat connections over a four-manifold
Tosiaki Kori
We introduce a symplectic structure on the space of connections in a G-principal bundle over a four-manifold and the Hamiltonian action on it of the group of gauge transformations…
Four-dimensional Wess-Zumino-Witten actions
Tosiaki Kori
We shall give an axiomatic construction of Wess-Zumino-Witten actions valued in (G=SU(N)), (N\geq 3). It is realized as a functor ({WZ}) from the category of conformally flat four-…