Supersymmetric Matrix Models and the Meander Problem
| dc.creator | Makeenko, Yuri | |
| dc.creator | Chepelev, Iouri | |
| dc.date | 1996-01-25 | |
| dc.date | 1997-09-23 | |
| dc.date.accessioned | 2026-07-07T09:04:15Z | |
| dc.date.available | 2026-07-07T09:04:15Z | |
| dc.description | 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. | |
| dc.description | 31 pages, Latex; v2: the name of one of the authors changed -- Iouri Chepelev former Hla Win Pe | |
| dc.identifier | https://arxiv.org/abs/hep-th/9601139 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9601139 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149310 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Supersymmetric Matrix Models and the Meander Problem | |
| dc.type | text |