Integrable Structure behind WDVV Equations

Details Integrable Structure behind WDVV Equations Integrable Structure behind WDVV Equations

2001-11-27

arxiv.org/abs/hep-th/0111243v1

Theor.Math.Phys. 134 (2003) 14-26; Teor.Mat.Fiz. 134 (2003) 18-31

Physics

High Energy Physics

High Energy Physics - Theory

14 pgs, contribution to Needs 2001 conference proceedings

Scientific paper

An integrable structure behind Witten--Dijkgraaf--Verlinde--Verlinde (WDVV) equations is identified with reduction of a Riemann-Hilbert problem for a homogeneous GL(N, C) loop group. Reduction requires the dressing matrices to be fixed points of a loop group automorphism of order two resulting in a sub-hierarchy of gl(N,C) hierarchy containing only odd symmetry flows. The model possesses Virasoro symmetry and imposing Virasoro constraints ensures homogeneity property of the Darboux-Egoroff structure. Dressing matrices of the reduced model provide solutions of the WDVV equations.

Affiliated with

Also associated with

No associations

Rating

Integrable Structure behind WDVV Equations 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 Integrable Structure behind WDVV Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integrable Structure behind WDVV Equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-252520