Supersymmetric Matrix Models and the Meander Problem

Details Supersymmetric Matrix Models and the Meander Problem Supersymmetric Matrix Models and the Meander Problem

1996-01-25

arxiv.org/abs/hep-th/9601139v2

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, Latex; v2: the name of one of the authors changed -- Iouri Chepelev former Hla Win Pe

Scientific paper

We consider matrix-model representations of the meander problem which describes, in particular, combinatorics for foldings of closed polymer chains. We introduce a supersymmetric matrix model for describing the principal meander numbers. This model is of the type proposed by Marinari and Parisi for discretizing a superstring in D=1 while the supersymmetry is realized in D=0 as a rotational symmetry between bosonic and fermionic matrices. Using non-commutative sources, we reformulate the meander problem in a Boltzmannian Fock space whose annihilation and creation operators obey the Cuntz algebra. We discuss also the relation between the matrix models describing the meander problem and the Kazakov-Migdal model on a D-dimensional lattice.

Affiliated with

Also associated with

No associations

Rating

Supersymmetric Matrix Models and the Meander Problem 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 Supersymmetric Matrix Models and the Meander Problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Supersymmetric Matrix Models and the Meander Problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-288394