Two-matrix model with semiclassical potentials and extended Whitham hierarchy

Details Two-matrix model with semiclassical potentials and extended Whitham hierarchy Two-matrix model with semiclassical potentials and extended Whitham hierarchy

2005-11-29

arxiv.org/abs/hep-th/0511295v1

J.Phys.A39:8823-8856,2006

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, one figure

Scientific paper

10.1088/0305-4470/39/28/S05

We consider the two-matrix model with potentials whose derivative are arbitrary rational function of fixed pole structure and the support of the spectra of the matrices are union of intervals (hard-edges). We derive an explicit formula for the planar limit of the free energy and we derive a calculus which allows to compute derivatives of arbitrarily high order by extending classical Rauch's variational formulae. The four-points correlation functions are explicitly worked out. The formalism extends naturally to the computation of residue formulae for the tau function of the so-called universal Whitham hierarchy studied mainly by I. Krichever: our setting extends that moduli space in that there are certain extra data.

Affiliated with

Also associated with

No associations

Rating

Two-matrix model with semiclassical potentials and extended Whitham hierarchy 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 Two-matrix model with semiclassical potentials and extended Whitham hierarchy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-matrix model with semiclassical potentials and extended Whitham hierarchy will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-715687