Blowup formulae in Donaldson-Witten theory and integrable hierarchies

Details Blowup formulae in Donaldson-Witten theory and integrable hierarchies Blowup formulae in Donaldson-Witten theory and integrable hierarchies

2000-06-15

arxiv.org/abs/hep-th/0006113v3

Adv.Theor.Math.Phys. 4 (2000) 503-543

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, harvmac, typos corrected, final version

Scientific paper

We investigate blowup formulae in Donaldson-Witten theory with gauge group SU(N), using the theory of hyperelliptic Kleinian functions. We find that the blowup function is a hyperelliptic sigma-function and we describe an explicit procedure to expand it in terms of the Casimirs of the gauge group up to arbitrary order. As a corollary, we obtain a new expression for the contact terms and we show that the correlation functions involving the exceptional divisor are governed by the KdV hierarchy. We also show that, for manifolds of simple type, the blowup function becomes a tau-function for a multisoliton solution.

Affiliated with

Also associated with

No associations

Rating

Blowup formulae in Donaldson-Witten theory and integrable hierarchies 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 Blowup formulae in Donaldson-Witten theory and integrable hierarchies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Blowup formulae in Donaldson-Witten theory and integrable hierarchies will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-547521