N=4 supersymmetric d = 1 sigma models on group manifolds
We construct manifestly N=4 supersymmetric off-shell superfield actions for the HKT d=1 sigma models on the group manifolds U(2) and SU(3), using the harmonic d=1 approach. The underlying (4,4,0) and (4,4,0)⊕(4,4,0) multiplets are described, respectively, by one and two harmonic analytic superfields...
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2019-12-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321319302925 |
| _version_ | 1818408228769234944 |
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| author | F. Delduc E. Ivanov |
| author_facet | F. Delduc E. Ivanov |
| author_sort | F. Delduc |
| collection | DOAJ |
| description | We construct manifestly N=4 supersymmetric off-shell superfield actions for the HKT d=1 sigma models on the group manifolds U(2) and SU(3), using the harmonic d=1 approach. The underlying (4,4,0) and (4,4,0)⊕(4,4,0) multiplets are described, respectively, by one and two harmonic analytic superfields q+ satisfying the appropriate nonlinear harmonic constraints. The invariant actions in both cases are bilinear in the superfields. We present the corresponding superfield realizations of the U(2) and SU(3) isometries and show that in fact they are enlarged to the products U(2)×SU(2) and SU(3)×U(2). We prove the corresponding invariances at both the superfield and component levels and present the bosonic d=1 sigma model actions, as integral over t in the U(2) case and over t and SU(2) harmonics in the SU(3) case. In the U(2) case we also give a detailed comparison with the general harmonic approach to HKT models and establish a correspondence with a particular action of the off-shell nonlinear multiplet (3,4,1). A possible way of generalizing U(2) model to the matrix U(2n) case is suggested. |
| first_indexed | 2024-12-14T09:40:24Z |
| format | Article |
| id | doaj.art-55efa19cecd947a3b3732efe03bb9cd3 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-14T09:40:24Z |
| publishDate | 2019-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-55efa19cecd947a3b3732efe03bb9cd32022-12-21T23:07:47ZengElsevierNuclear Physics B0550-32132019-12-01949N=4 supersymmetric d = 1 sigma models on group manifoldsF. Delduc0E. Ivanov1Univ Lyon, Ens de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique, F-69342 Lyon, FranceBogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow region, Russia; Corresponding author.We construct manifestly N=4 supersymmetric off-shell superfield actions for the HKT d=1 sigma models on the group manifolds U(2) and SU(3), using the harmonic d=1 approach. The underlying (4,4,0) and (4,4,0)⊕(4,4,0) multiplets are described, respectively, by one and two harmonic analytic superfields q+ satisfying the appropriate nonlinear harmonic constraints. The invariant actions in both cases are bilinear in the superfields. We present the corresponding superfield realizations of the U(2) and SU(3) isometries and show that in fact they are enlarged to the products U(2)×SU(2) and SU(3)×U(2). We prove the corresponding invariances at both the superfield and component levels and present the bosonic d=1 sigma model actions, as integral over t in the U(2) case and over t and SU(2) harmonics in the SU(3) case. In the U(2) case we also give a detailed comparison with the general harmonic approach to HKT models and establish a correspondence with a particular action of the off-shell nonlinear multiplet (3,4,1). A possible way of generalizing U(2) model to the matrix U(2n) case is suggested.http://www.sciencedirect.com/science/article/pii/S0550321319302925 |
| spellingShingle | F. Delduc E. Ivanov N=4 supersymmetric d = 1 sigma models on group manifolds Nuclear Physics B |
| title | N=4 supersymmetric d = 1 sigma models on group manifolds |
| title_full | N=4 supersymmetric d = 1 sigma models on group manifolds |
| title_fullStr | N=4 supersymmetric d = 1 sigma models on group manifolds |
| title_full_unstemmed | N=4 supersymmetric d = 1 sigma models on group manifolds |
| title_short | N=4 supersymmetric d = 1 sigma models on group manifolds |
| title_sort | n 4 supersymmetric d 1 sigma models on group manifolds |
| url | http://www.sciencedirect.com/science/article/pii/S0550321319302925 |
| work_keys_str_mv | AT fdelduc n4supersymmetricd1sigmamodelsongroupmanifolds AT eivanov n4supersymmetricd1sigmamodelsongroupmanifolds |