Quantum, higher-spin, local charges in symmetric space sigma models

J M Evans; D Kagan; C A S Young; N J MacKay

doi:10.1088/1126-6708/2005/01/020

Quantum, higher-spin, local charges in symmetric space sigma models

J M Evans, D Kagan, C A S Young, N J MacKay

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Potential anomalies are analysed for the local spin-3 and spin-4 classically conserved currents in any two-dimensional sigma model on a compact symmetric space G/H, with G and H classical groups. Quantum local conserved charges are shown to exist in exactly those models which also possess quantum non-local (yangian) charges. The possibility of larger sets of quantum local charges is discussed and shown to be consistent with know S-matrix results and the behaviour of the corresponding yangian representations.

Original language	English
Article number	020
Number of pages	17
Journal	Journal of High Energy Physics
Volume	2005
Issue number	1
DOIs	https://doi.org/10.1088/1126-6708/2005/01/020
Publication status	Published - Jan 2005

Keywords

field theories in lower dimensions
sigma models
integrable field theories
YANG-BAXTER EQUATION
NONLOCAL CHARGES
PARTICLE-PRODUCTION
DIMENSIONAL MODELS
CONSERVATION-LAWS
FIELD-THEORY
S-MATRICES
ALGEBRAS
REPRESENTATIONS
INTEGRABILITY

Access to Document

10.1088/1126-6708/2005/01/020

http://arxiv.org/abs/hep-th/0408244

Cite this

@article{46a1df57a9b14392b5fec06b85cc2e6a,

title = "Quantum, higher-spin, local charges in symmetric space sigma models",

abstract = "Potential anomalies are analysed for the local spin-3 and spin-4 classically conserved currents in any two-dimensional sigma model on a compact symmetric space G/H, with G and H classical groups. Quantum local conserved charges are shown to exist in exactly those models which also possess quantum non-local (yangian) charges. The possibility of larger sets of quantum local charges is discussed and shown to be consistent with know S-matrix results and the behaviour of the corresponding yangian representations.",

keywords = "field theories in lower dimensions, sigma models, integrable field theories, YANG-BAXTER EQUATION, NONLOCAL CHARGES, PARTICLE-PRODUCTION, DIMENSIONAL MODELS, CONSERVATION-LAWS, FIELD-THEORY, S-MATRICES, ALGEBRAS, REPRESENTATIONS, INTEGRABILITY",

author = "Evans, {J M} and D Kagan and Young, {C A S} and MacKay, {N J}",

year = "2005",

month = jan,

doi = "10.1088/1126-6708/2005/01/020",

language = "English",

volume = "2005",

journal = "Journal of High Energy Physics",

issn = "1029-8479",

publisher = "Springer",

number = "1",

}

TY - JOUR

T1 - Quantum, higher-spin, local charges in symmetric space sigma models

AU - Evans, J M

AU - Kagan, D

AU - Young, C A S

AU - MacKay, N J

PY - 2005/1

Y1 - 2005/1

N2 - Potential anomalies are analysed for the local spin-3 and spin-4 classically conserved currents in any two-dimensional sigma model on a compact symmetric space G/H, with G and H classical groups. Quantum local conserved charges are shown to exist in exactly those models which also possess quantum non-local (yangian) charges. The possibility of larger sets of quantum local charges is discussed and shown to be consistent with know S-matrix results and the behaviour of the corresponding yangian representations.

AB - Potential anomalies are analysed for the local spin-3 and spin-4 classically conserved currents in any two-dimensional sigma model on a compact symmetric space G/H, with G and H classical groups. Quantum local conserved charges are shown to exist in exactly those models which also possess quantum non-local (yangian) charges. The possibility of larger sets of quantum local charges is discussed and shown to be consistent with know S-matrix results and the behaviour of the corresponding yangian representations.

KW - field theories in lower dimensions

KW - sigma models

KW - integrable field theories

KW - YANG-BAXTER EQUATION

KW - NONLOCAL CHARGES

KW - PARTICLE-PRODUCTION

KW - DIMENSIONAL MODELS

KW - CONSERVATION-LAWS

KW - FIELD-THEORY

KW - S-MATRICES

KW - ALGEBRAS

KW - REPRESENTATIONS

KW - INTEGRABILITY

U2 - 10.1088/1126-6708/2005/01/020

DO - 10.1088/1126-6708/2005/01/020

M3 - Article

SN - 1029-8479

VL - 2005

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 1

M1 - 020

ER -