Non Abelian TQFT and scattering of self dual field configuration

Details Non Abelian TQFT and scattering of self dual field configuration Non Abelian TQFT and scattering of self dual field configuration

1999-09-08

arxiv.org/abs/hep-th/9909050v1

Phys.Rev. D60 (1999) 124014

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex

Scientific paper

10.1103/PhysRevD.60.124014

A non-abelian topological quantum field theory describing the scattering of self-dual field configurations over topologically non-trivial Riemann surfaces, arising from the reduction of 4-dim self-dual Yang-Mills fields, is introduced. It is shown that the phase space of the theory can be exactly quantized in terms of the space of holomorphic structures over stable vector bundles of degree zero over Riemann surfaces. The Dirac monopoles are particular static solutions of the field equations. Its relation to topological gravity is discussed.

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