Hidden symmetries of the principal chiral model unveiled

C. Devchand, Jeremy Schiff

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

By relating the two-dimensional U(N) Principal Chiral Model to a simple linear system we obtain a free-field parametrisation of solutions. Obvious symmetry transformations on the free-field data give symmetries of the model. In this way all known "hidden symmetries" and Bäcklund transformations, as well as a host of new symmetries, arise.

Original languageEnglish
Pages (from-to)675-695
Number of pages21
JournalCommunications in Mathematical Physics
Volume190
Issue number3
DOIs
StatePublished - 1998

Fingerprint

Dive into the research topics of 'Hidden symmetries of the principal chiral model unveiled'. Together they form a unique fingerprint.

Cite this