Supersymmetric sigma models with non-vanishing Nijenhuis tensor and their operator product expansion

Gustav W. Delius; Martin Roček; Alexander Sevrin; Peter van Nieuwenhuizen

doi:10.1016/0550-3213(89)90478-1

Supersymmetric sigma models with non-vanishing Nijenhuis tensor and their operator product expansion

Gustav W. Delius
, Martin Roček
, Alexander Sevrin
, Peter van Nieuwenhuizen

Institute for Theoretical Physics

Stony Brook University

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

18 Scopus citations

Abstract

Rigidly supersymmetric nonlinear σ-models with non-vanishing Nijenhuis tensor are reobtained in a superspace formulation. The existence of such models is proven by explicitly constructing examples on group manifolds. The finite dimensional classical symmetry Lie algebra is investigated. The quantum algebra is studied by working out the operator product expansion and it appears not to close.

Original language	English
Pages (from-to)	523-531
Number of pages	9
Journal	Nuclear Physics, Section B
Volume	324
Issue number	2
DOIs	https://doi.org/10.1016/0550-3213(89)90478-1
State	Published - Sep 25 1989

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title = "Supersymmetric sigma models with non-vanishing Nijenhuis tensor and their operator product expansion",

abstract = "Rigidly supersymmetric nonlinear σ-models with non-vanishing Nijenhuis tensor are reobtained in a superspace formulation. The existence of such models is proven by explicitly constructing examples on group manifolds. The finite dimensional classical symmetry Lie algebra is investigated. The quantum algebra is studied by working out the operator product expansion and it appears not to close.",

author = "Delius, \{Gustav W.\} and Martin Ro{\v c}ek and Alexander Sevrin and \{van Nieuwenhuizen\}, Peter",

year = "1989",

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T1 - Supersymmetric sigma models with non-vanishing Nijenhuis tensor and their operator product expansion

AU - Delius, Gustav W.

AU - Roček, Martin

AU - Sevrin, Alexander

AU - van Nieuwenhuizen, Peter

PY - 1989/9/25

Y1 - 1989/9/25

N2 - Rigidly supersymmetric nonlinear σ-models with non-vanishing Nijenhuis tensor are reobtained in a superspace formulation. The existence of such models is proven by explicitly constructing examples on group manifolds. The finite dimensional classical symmetry Lie algebra is investigated. The quantum algebra is studied by working out the operator product expansion and it appears not to close.

AB - Rigidly supersymmetric nonlinear σ-models with non-vanishing Nijenhuis tensor are reobtained in a superspace formulation. The existence of such models is proven by explicitly constructing examples on group manifolds. The finite dimensional classical symmetry Lie algebra is investigated. The quantum algebra is studied by working out the operator product expansion and it appears not to close.

UR - https://www.scopus.com/pages/publications/0002196267

U2 - 10.1016/0550-3213(89)90478-1

DO - 10.1016/0550-3213(89)90478-1

M3 - Article

AN - SCOPUS:0002196267

SN - 0550-3213

VL - 324

SP - 523

EP - 531

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 2

ER -

Supersymmetric sigma models with non-vanishing Nijenhuis tensor and their operator product expansion

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