Two-Matrix String Model as Constrained (2+1)-Dimensional Integrable System

Details Two-Matrix String Model as Constrained (2+1)-Dimensional Integrable System Two-Matrix String Model as Constrained (2+1)-Dimensional Integrable System

1994-07-04

arxiv.org/abs/hep-th/9407017v1

Phys.Lett. B341 (1994) 19-30

Physics

High Energy Physics

High Energy Physics - Theory

12+1 pgs., LaTeX, preprint: BGU-94 / 15 / June-PH, UICHEP-TH/94-6

Scientific paper

10.1016/0370-2693(94)01255-5

We show that the 2-matrix string model corresponds to a coupled system of $2+1$-dimensional KP and modified KP ($\KPm$) integrable equations subject to a specific ``symmetry'' constraint. The latter together with the Miura-Konopelchenko map for $\KPm$ are the continuum incarnation of the matrix string equation. The $\KPm$ Miura and B\"{a}cklund transformations are natural consequences of the underlying lattice structure. The constrained $\KPm$ system is equivalent to a $1+1$-dimensional generalized KP-KdV hierarchy related to graded ${\bf SL(3,1)}$. We provide an explicit representation of this hierarchy, including the associated ${\bf W(2,1)}$-algebra of the second Hamiltonian structure, in terms of free currents.

Affiliated with

Also associated with

No associations

Rating

Two-Matrix String Model as Constrained (2+1)-Dimensional Integrable System 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 String Model as Constrained (2+1)-Dimensional Integrable System, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-Matrix String Model as Constrained (2+1)-Dimensional Integrable System will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-615820