No Cover Image

Journal article 380 views

Hermitian versus anti-hermitian one-matrix models and their hierarchies / Luis Miramontes; Chiara Nappi; Andrea Pasquinucci; Timothy Hollowood

Nuclear Physics B, Volume: "B373", Issue: 1, Pages: 247 - 280

Swansea University Author: Timothy, Hollowood

Full text not available from this repository: check for access using links below.

Abstract

Building on a recent work of \v C. Crnkovi\'c, M. Douglas and G. Moore, a study of multi-critical multi-cut one-matrix models and their associated $sl(2,C)$ integrable hierarchies, is further pursued. The double scaling limits of hermitian matrix models with different scaling ans\"atze, le...

Full description

Published in: Nuclear Physics B
ISSN: 05503213
Published: 1991
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28596
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract: Building on a recent work of \v C. Crnkovi\'c, M. Douglas and G. Moore, a study of multi-critical multi-cut one-matrix models and their associated $sl(2,C)$ integrable hierarchies, is further pursued. The double scaling limits of hermitian matrix models with different scaling ans\"atze, lead, to the KdV hierarchy, to the modified KdV hierarchy and part of the non-linear Schr\"odinger hierarchy. Instead, the anti-hermitian matrix model, in the two-arc sector, results in the Zakharov-Shabat hierarchy, which contains both KdV and mKdV as reductions. For all the hierarchies, it is found that the Virasoro constraints act on the associated tau-functions. Whereas it is known that the ZS and KdV models lead to the Virasoro constraints of an $sl(2,C)$ vacuum, we find that the mKdV model leads to the Virasoro constraints of a highest weight state with arbitrary conformal
College: College of Science
Issue: 1
Start Page: 247
End Page: 280