Higher-spin conserved currents in supersymmetric sigma models on symmetric spaces

J M Evans; C A S Young

doi:10.1016/j.nuclphysb.2005.04.022

Higher-spin conserved currents in supersymmetric sigma models on symmetric spaces

J M Evans, C A S Young

Mathematics

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

Abstract

Local higher-spin conserved currents are constructed in the supersymmetric sigma models with target manifolds symmetric spaces G/H. One class of currents is based on generators of the de Rham cohomology ring of G/H; a second class of currents are higher-spin generalizations of the (super)energy-momentum tensor. A comprehensive analysis of the invariant tensors required to construct these currents is given from two complimentary points of view, and sets of primitive currents are identified from which all others can be constructed as differential polynomials. The Poisson bracket algebra of the top component charges of the primitive currents is calculated. It is shown that one can choose the primitive currents so that the bosonic charges all Poisson-commute, while the fermionic charges obey an algebra which is a form of higher-spin generalization of supersymmetry. Brief comments are made on some implications for the quantized theories. (c) 2005 Published by Elsevier B.V.

Original language	English
Pages (from-to)	327-360
Number of pages	34
Journal	Nuclear Physics B
Volume	717
Issue number	3
DOIs	https://doi.org/10.1016/j.nuclphysb.2005.04.022
Publication status	Published - 27 Jun 2005

Keywords

NONLOCAL CHARGES
QUANTUM INTEGRABILITY
LAWS
SYSTEMS
INSTANTONS
ANOMALIES
YANGIANS
FERMIONS
STRINGS
FIELDS

Access to Document

10.1016/j.nuclphysb.2005.04.022

Cite this

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title = "Higher-spin conserved currents in supersymmetric sigma models on symmetric spaces",

abstract = "Local higher-spin conserved currents are constructed in the supersymmetric sigma models with target manifolds symmetric spaces G/H. One class of currents is based on generators of the de Rham cohomology ring of G/H; a second class of currents are higher-spin generalizations of the (super)energy-momentum tensor. A comprehensive analysis of the invariant tensors required to construct these currents is given from two complimentary points of view, and sets of primitive currents are identified from which all others can be constructed as differential polynomials. The Poisson bracket algebra of the top component charges of the primitive currents is calculated. It is shown that one can choose the primitive currents so that the bosonic charges all Poisson-commute, while the fermionic charges obey an algebra which is a form of higher-spin generalization of supersymmetry. Brief comments are made on some implications for the quantized theories. (c) 2005 Published by Elsevier B.V.",

keywords = "NONLOCAL CHARGES, QUANTUM INTEGRABILITY, LAWS, SYSTEMS, INSTANTONS, ANOMALIES, YANGIANS, FERMIONS, STRINGS, FIELDS",

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year = "2005",

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doi = "10.1016/j.nuclphysb.2005.04.022",

language = "English",

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journal = "Nuclear Physics B",

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TY - JOUR

T1 - Higher-spin conserved currents in supersymmetric sigma models on symmetric spaces

AU - Evans, J M

AU - Young, C A S

PY - 2005/6/27

Y1 - 2005/6/27

N2 - Local higher-spin conserved currents are constructed in the supersymmetric sigma models with target manifolds symmetric spaces G/H. One class of currents is based on generators of the de Rham cohomology ring of G/H; a second class of currents are higher-spin generalizations of the (super)energy-momentum tensor. A comprehensive analysis of the invariant tensors required to construct these currents is given from two complimentary points of view, and sets of primitive currents are identified from which all others can be constructed as differential polynomials. The Poisson bracket algebra of the top component charges of the primitive currents is calculated. It is shown that one can choose the primitive currents so that the bosonic charges all Poisson-commute, while the fermionic charges obey an algebra which is a form of higher-spin generalization of supersymmetry. Brief comments are made on some implications for the quantized theories. (c) 2005 Published by Elsevier B.V.

AB - Local higher-spin conserved currents are constructed in the supersymmetric sigma models with target manifolds symmetric spaces G/H. One class of currents is based on generators of the de Rham cohomology ring of G/H; a second class of currents are higher-spin generalizations of the (super)energy-momentum tensor. A comprehensive analysis of the invariant tensors required to construct these currents is given from two complimentary points of view, and sets of primitive currents are identified from which all others can be constructed as differential polynomials. The Poisson bracket algebra of the top component charges of the primitive currents is calculated. It is shown that one can choose the primitive currents so that the bosonic charges all Poisson-commute, while the fermionic charges obey an algebra which is a form of higher-spin generalization of supersymmetry. Brief comments are made on some implications for the quantized theories. (c) 2005 Published by Elsevier B.V.

KW - NONLOCAL CHARGES

KW - QUANTUM INTEGRABILITY

KW - LAWS

KW - SYSTEMS

KW - INSTANTONS

KW - ANOMALIES

KW - YANGIANS

KW - FERMIONS

KW - STRINGS

KW - FIELDS

U2 - 10.1016/j.nuclphysb.2005.04.022

DO - 10.1016/j.nuclphysb.2005.04.022

M3 - Article

SN - 0550-3213

VL - 717

SP - 327

EP - 360

JO - Nuclear Physics B

JF - Nuclear Physics B

IS - 3

ER -