6 papers
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…
Current algebras on S^3 of complex Lie algebras
Tosiaki Kori
This is a full revised version of the previous same titled article. The 2-cocycle of the central extension of the current algebra on the three sphere is taken the place of a new qu…
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-…
Electric-Magnetic Aspects On Yang-Mills Fields
Tosiaki Kori
Let A be the space of irreducible connections (vector potentials) over a SU(n)-principal bundle on a three-dimensional manifold M. Let T be the fiber product of the tangent and cot…
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-…