Self-Dual Yang-Mills: Symmetries and Moduli Space

Details Self-Dual Yang-Mills: Symmetries and Moduli Space Self-Dual Yang-Mills: Symmetries and Moduli Space

1998-03-23

arxiv.org/abs/hep-th/9803183v2

Rev.Math.Phys. 11 (1999) 1091-1149

Physics

High Energy Physics

High Energy Physics - Theory

42 pages, LaTeX2e

Scientific paper

Geometry of the solution space of the self-dual Yang-Mills (SDYM) equations in Euclidean four-dimensional space is studied. Combining the twistor and group-theoretic approaches, we describe the full infinite-dimensional symmetry group of the SDYM equations and its action on the space of local solutions to the field equations. It is argued that owing to the relation to a holomorphic analogue of the Chern-Simons theory, the SDYM theory may be as solvable as 2D rational conformal field theories, and successful nonperturbative quantization may be developed. An algebra acting on the space of self-dual conformal structures on a 4-space (an analogue of the Virasoro algebra) and an algebra acting on the space of self-dual connections (an analogue of affine Lie algebras) are described. Relations to problems of topological and N=2 strings are briefly discussed.

Affiliated with

Also associated with

No associations

Rating

Self-Dual Yang-Mills: Symmetries and Moduli Space does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Self-Dual Yang-Mills: Symmetries and Moduli Space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Self-Dual Yang-Mills: Symmetries and Moduli Space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-680808