Local conserved charges in principal chiral models

J. M. Evans; M. Hassan; Niall MacKay; A. J. Mountain

doi:10.1016/S0550-3213(99)00489-7

Local conserved charges in principal chiral models

J. M. Evans, M. Hassan, Niall MacKay, A. J. Mountain

Mathematics

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Abstract

Local conserved charges in principal chiral models in 1+1 dimensions are investigated. There is a classically conserved local charge for each totally symmetric invariant tensor of the underlying group. These local charges are shown to be in involution with the non-local Yangian charges. The Poisson bracket algebra of the local charges is then studied. For each classical algebra, an infinite set of local charges with spins equal to the exponents modulo the Coxeter number is constructed, and it is shown that these commute with one another. Brief comments are made on the evidence for, and implications of, survival of these charges in the quantum theory.

Original language	English
Pages (from-to)	385-412
Number of pages	28
Journal	Nuclear Physics B
Volume	561
Issue number	3
DOIs	https://doi.org/10.1016/S0550-3213(99)00489-7
Publication status	Published - 15 Nov 1999

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10.1016/S0550-3213(99)00489-7

http://arxiv.org/abs/hep-th/9902008

Cite this

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title = "Local conserved charges in principal chiral models",

abstract = "Local conserved charges in principal chiral models in 1+1 dimensions are investigated. There is a classically conserved local charge for each totally symmetric invariant tensor of the underlying group. These local charges are shown to be in involution with the non-local Yangian charges. The Poisson bracket algebra of the local charges is then studied. For each classical algebra, an infinite set of local charges with spins equal to the exponents modulo the Coxeter number is constructed, and it is shown that these commute with one another. Brief comments are made on the evidence for, and implications of, survival of these charges in the quantum theory.",

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DO - 10.1016/S0550-3213(99)00489-7

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