FREDHOLM DETERMINANTS AND THE MKDV SINH-GORDON HIERARCHIES/

Authors
TRACY CA WIDOM H
Citation
Ca. Tracy et H. Widom, FREDHOLM DETERMINANTS AND THE MKDV SINH-GORDON HIERARCHIES/, Communications in Mathematical Physics, 179(1), 1996, pp. 1-9
Citations number
20
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
179
Issue
1
Year of publication
1996
Pages
1 - 9
Database
ISI
SICI code
0010-3616(1996)179:1<1:FDATMS>2.0.ZU;2-M
Abstract
For a particular class of integral operators K we show that the quanti ty phi := log det(I + K) - log det(I - K) satisfies both the integrate d mKdV hierarchy and the Sinh-Gordon hierarchy. This proves a conjectu re of Zamolodchikov.