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:
Wess-Zumino-Novikov-Witten (WZNW) / Virasoro algebra / 2D supergravity / canonical methodsSource:
Modern Physics Letters A, 2002, 17, 29, 1923-1936
DOI: 10.1142/S0217732302008496
ISSN: 0217-7323; 1793-6632
WoS: 000179122600005
Scopus: 2-s2.0-0037152109
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Institution/Community
VinčaTY - JOUR AU - Miskovic, O AU - Sazdovic, B PY - 2002 UR - https://vinar.vin.bg.ac.rs/handle/123456789/2578 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. T2 - Modern Physics Letters A T1 - Canonical approach to 2D supersymmetric WZNW model coupled to supergravity VL - 17 IS - 29 SP - 1923 EP - 1936 DO - 10.1142/S0217732302008496 ER -
@article{ author = "Miskovic, O and Sazdovic, B", year = "2002", 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.", journal = "Modern Physics Letters A", title = "Canonical approach to 2D supersymmetric WZNW model coupled to supergravity", volume = "17", number = "29", pages = "1923-1936", doi = "10.1142/S0217732302008496" }
Miskovic, O.,& Sazdovic, B.. (2002). Canonical approach to 2D supersymmetric WZNW model coupled to supergravity. in Modern Physics Letters A, 17(29), 1923-1936. https://doi.org/10.1142/S0217732302008496
Miskovic O, Sazdovic B. Canonical approach to 2D supersymmetric WZNW model coupled to supergravity. in Modern Physics Letters A. 2002;17(29):1923-1936. doi:10.1142/S0217732302008496 .
Miskovic, O, Sazdovic, B, "Canonical approach to 2D supersymmetric WZNW model coupled to supergravity" in Modern Physics Letters A, 17, no. 29 (2002):1923-1936, https://doi.org/10.1142/S0217732302008496 . .