Geometry and duality in supersymmetric σ-models

Thomas Curtright; Tsuneo Uematsu; Cosmas Zachos

doi:10.1016/0550-3213(96)00138-1

Geometry and duality in supersymmetric σ-models

Thomas Curtright, Tsuneo Uematsu, Cosmas Zachos

Physics

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

20 Scopus citations

Abstract

The Supersymmetric Dual Sigma Model (SDSM) is a local field theory introduced to be nonlocally equivalent to the Supersymmetric Chiral nonlinear σ-Model (SCM), this dual equivalence being proven by explicit canonical transformation in tangent space. This model is here reconstructed in superspace and identified as a chiral-entwined supersymmetrization of the Dual Sigma Model (DSM). This analysis sheds light on the boson-fermion symphysis of the dual transition, and on the new geometry of the DSM.

Original language	English (US)
Pages (from-to)	488-512
Number of pages	25
Journal	Nuclear Physics B
Volume	469
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(96)00138-1
State	Published - Jun 17 1996

Keywords

Bosonization
Canonical transformations
Duality
Sigma models
Supersymmetry
Symphysis

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(96)00138-1

Cite this

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title = "Geometry and duality in supersymmetric σ-models",

abstract = "The Supersymmetric Dual Sigma Model (SDSM) is a local field theory introduced to be nonlocally equivalent to the Supersymmetric Chiral nonlinear σ-Model (SCM), this dual equivalence being proven by explicit canonical transformation in tangent space. This model is here reconstructed in superspace and identified as a chiral-entwined supersymmetrization of the Dual Sigma Model (DSM). This analysis sheds light on the boson-fermion symphysis of the dual transition, and on the new geometry of the DSM.",

keywords = "Bosonization, Canonical transformations, Duality, Sigma models, Supersymmetry, Symphysis",

author = "Thomas Curtright and Tsuneo Uematsu and Cosmas Zachos",

note = "Funding Information: This work was supportedby the NSF grantP HY-95-07829a nd the U.S. Department of Energy,D ivisiono f High EnergyP hysics,C ontracWt -31-109-ENG-38T.. U. and T.C. thank ArgonneN ationalL aboratoryfo r its hospitalityd uringi mportanpt haseso f this project.W e are thankfult o L. Palla for communicatintgo us a draft of \[14\]b efore release.",

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doi = "10.1016/0550-3213(96)00138-1",

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T1 - Geometry and duality in supersymmetric σ-models

AU - Curtright, Thomas

AU - Uematsu, Tsuneo

AU - Zachos, Cosmas

N1 - Funding Information: This work was supportedby the NSF grantP HY-95-07829a nd the U.S. Department of Energy,D ivisiono f High EnergyP hysics,C ontracWt -31-109-ENG-38T.. U. and T.C. thank ArgonneN ationalL aboratoryfo r its hospitalityd uringi mportanpt haseso f this project.W e are thankfult o L. Palla for communicatintgo us a draft of \[14\]b efore release.

PY - 1996/6/17

Y1 - 1996/6/17

N2 - The Supersymmetric Dual Sigma Model (SDSM) is a local field theory introduced to be nonlocally equivalent to the Supersymmetric Chiral nonlinear σ-Model (SCM), this dual equivalence being proven by explicit canonical transformation in tangent space. This model is here reconstructed in superspace and identified as a chiral-entwined supersymmetrization of the Dual Sigma Model (DSM). This analysis sheds light on the boson-fermion symphysis of the dual transition, and on the new geometry of the DSM.

AB - The Supersymmetric Dual Sigma Model (SDSM) is a local field theory introduced to be nonlocally equivalent to the Supersymmetric Chiral nonlinear σ-Model (SCM), this dual equivalence being proven by explicit canonical transformation in tangent space. This model is here reconstructed in superspace and identified as a chiral-entwined supersymmetrization of the Dual Sigma Model (DSM). This analysis sheds light on the boson-fermion symphysis of the dual transition, and on the new geometry of the DSM.

KW - Bosonization

KW - Canonical transformations

KW - Duality

KW - Sigma models

KW - Supersymmetry

KW - Symphysis

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DO - 10.1016/0550-3213(96)00138-1

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VL - 469

SP - 488

EP - 512

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 3

ER -

Geometry and duality in supersymmetric σ-models

Abstract

Keywords

ASJC Scopus subject areas

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