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New hidden symmetries in 2-dimensional models

Authors
Journal
Nuclear Physics B
0550-3213
Publisher
Elsevier
Publication Date
Volume
260
Identifiers
DOI: 10.1016/0550-3213(85)90055-0
Disciplines
  • Mathematics

Abstract

Abstract In an attempt to derive the hidden symmetries for some integrable 2-dimensional models by considering the invariances of the corresponding linearization systems and the Riemann-Hilbert transformations, we arrive at a new “sub”-algebra of the ordinary Kac-Moody algebra which represents the hidden symmetry for for example the sine-Gordon theory. A similar “sub”-algebra is found for the Liouville model. These new algebras differ from the ordinary ones in having a different structure according to whether the grading is even or odd. We describe a new systematic way of finding such hidden symmetries from general linearization systems.

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