Canonical approach to 2D supersymmetric WZNW model coupled to supergravity

Olivera Mišković; Branislav Sazdović

doi:10.1142/S0217732302008496

Canonical approach to 2D supersymmetric WZNW model coupled to supergravity

Olivera Mišković, Branislav Sazdović

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

4 Scopus citations

Abstract

Starting from the known representation of the Kac-Moody algebra in terms of the coordinates and momenta, we extend it to the representation of the super Kac-Moody and super Virasoro algebras. Then we use general canonical method to construct an action invariant under local gauge symmetries, where components of the super energy-momentum tensor L± and G± play the role of the diffeomorphisms and supersymmetry generators respectively. We obtain covariant extension of WZNW theory with respect to local supersymmetry as well as explicit expressions for gauge transformations.

Original language	English
Pages (from-to)	1923-1936
Number of pages	14
Journal	Modern Physics Letters A
Volume	17
Issue number	29
DOIs	https://doi.org/10.1142/S0217732302008496
State	Published - 21 Sep 2002
Externally published	Yes

Keywords

2D supergravity
Canonical methods
Virasoro algebra
Wess-Zumino-Novikov-Witten (WZNW)

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10.1142/S0217732302008496

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title = "Canonical approach to 2D supersymmetric WZNW model coupled to supergravity",

abstract = "Starting from the known representation of the Kac-Moody algebra in terms of the coordinates and momenta, we extend it to the representation of the super Kac-Moody and super Virasoro algebras. Then we use general canonical method to construct an action invariant under local gauge symmetries, where components of the super energy-momentum tensor L± and G± play the role of the diffeomorphisms and supersymmetry generators respectively. We obtain covariant extension of WZNW theory with respect to local supersymmetry as well as explicit expressions for gauge transformations.",

keywords = "2D supergravity, Canonical methods, Virasoro algebra, Wess-Zumino-Novikov-Witten (WZNW)",

author = "Olivera Mi{\v s}kovi{\'c} and Branislav Sazdovi{\'c}",

note = "Funding Information: This work was supported in parts by the Serbian Ministry of Science, Technology and Developments, and Chilean FONDECYT grant 2010017. O.M. thanks MECE-SUP for a scholarship. The institutional support of a group of Chilean companies (CODELCO, Dimacoffi, Empresas CMPC, MASISA S. A. and Telef onica del Sur) and Yugoslav \Vinca{"} Institute of Nuclear Sciences is also acknowledged. CECS is a Millennium Science Institute.",

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doi = "10.1142/S0217732302008496",

language = "English",

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pages = "1923--1936",

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T1 - Canonical approach to 2D supersymmetric WZNW model coupled to supergravity

AU - Mišković, Olivera

AU - Sazdović, Branislav

N1 - Funding Information: This work was supported in parts by the Serbian Ministry of Science, Technology and Developments, and Chilean FONDECYT grant 2010017. O.M. thanks MECE-SUP for a scholarship. The institutional support of a group of Chilean companies (CODELCO, Dimacoffi, Empresas CMPC, MASISA S. A. and Telef onica del Sur) and Yugoslav \Vinca" Institute of Nuclear Sciences is also acknowledged. CECS is a Millennium Science Institute.

PY - 2002/9/21

Y1 - 2002/9/21

N2 - Starting from the known representation of the Kac-Moody algebra in terms of the coordinates and momenta, we extend it to the representation of the super Kac-Moody and super Virasoro algebras. Then we use general canonical method to construct an action invariant under local gauge symmetries, where components of the super energy-momentum tensor L± and G± play the role of the diffeomorphisms and supersymmetry generators respectively. We obtain covariant extension of WZNW theory with respect to local supersymmetry as well as explicit expressions for gauge transformations.

AB - Starting from the known representation of the Kac-Moody algebra in terms of the coordinates and momenta, we extend it to the representation of the super Kac-Moody and super Virasoro algebras. Then we use general canonical method to construct an action invariant under local gauge symmetries, where components of the super energy-momentum tensor L± and G± play the role of the diffeomorphisms and supersymmetry generators respectively. We obtain covariant extension of WZNW theory with respect to local supersymmetry as well as explicit expressions for gauge transformations.

KW - 2D supergravity

KW - Canonical methods

KW - Virasoro algebra

KW - Wess-Zumino-Novikov-Witten (WZNW)

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DO - 10.1142/S0217732302008496

M3 - Article

AN - SCOPUS:0037152109

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VL - 17

SP - 1923

EP - 1936

JO - Modern Physics Letters A

JF - Modern Physics Letters A

IS - 29

ER -

Canonical approach to 2D supersymmetric WZNW model coupled to supergravity

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Keywords

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