Quasicomplex N=2, d=1 Supersymmetric Sigma Models
We derive and discuss a new type of N=2 supersymmetric quantum mechanical sigma models which appear when the superfield action of the (1,2,1) multiplets is modified by adding an imaginary antisymmetric tensor to the target space metric, thus completing the latter to a non-symmetric Hermitian metric....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2013-11-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2013.069 |
| _version_ | 1818527249658281984 |
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| author | Evgeny A. Ivanov Andrei V. Smilga |
| author_facet | Evgeny A. Ivanov Andrei V. Smilga |
| author_sort | Evgeny A. Ivanov |
| collection | DOAJ |
| description | We derive and discuss a new type of N=2 supersymmetric quantum mechanical sigma models which appear when the superfield action of the (1,2,1) multiplets is modified by adding an imaginary antisymmetric tensor to the target space metric, thus completing the latter to a non-symmetric Hermitian metric. These models are not equivalent to the standard de Rham sigma models, but are related to them through a certain special similarity transformation of the supercharges. On the other hand, they can be obtained by a Hamiltonian reduction from the complex supersymmetric N=2 sigma models built on the multiplets (2,2,0) and describing the Dolbeault complex on the manifolds with proper isometries. We study in detail the extremal two-dimensional case, when the target space metric is defined solely by the antisymmetric tensor, and show that the corresponding quantum systems reveal a hidden N=4 supersymmetry. |
| first_indexed | 2024-12-11T06:33:43Z |
| format | Article |
| id | doaj.art-0d5024d59f2b4d95a133a0ebb2cad90d |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-11T06:33:43Z |
| publishDate | 2013-11-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-0d5024d59f2b4d95a133a0ebb2cad90d2022-12-22T01:17:26ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592013-11-01906910.3842/SIGMA.2013.069Quasicomplex N=2, d=1 Supersymmetric Sigma ModelsEvgeny A. IvanovAndrei V. SmilgaWe derive and discuss a new type of N=2 supersymmetric quantum mechanical sigma models which appear when the superfield action of the (1,2,1) multiplets is modified by adding an imaginary antisymmetric tensor to the target space metric, thus completing the latter to a non-symmetric Hermitian metric. These models are not equivalent to the standard de Rham sigma models, but are related to them through a certain special similarity transformation of the supercharges. On the other hand, they can be obtained by a Hamiltonian reduction from the complex supersymmetric N=2 sigma models built on the multiplets (2,2,0) and describing the Dolbeault complex on the manifolds with proper isometries. We study in detail the extremal two-dimensional case, when the target space metric is defined solely by the antisymmetric tensor, and show that the corresponding quantum systems reveal a hidden N=4 supersymmetry.http://dx.doi.org/10.3842/SIGMA.2013.069supersymmetrygeometrysuperfield |
| spellingShingle | Evgeny A. Ivanov Andrei V. Smilga Quasicomplex N=2, d=1 Supersymmetric Sigma Models Symmetry, Integrability and Geometry: Methods and Applications supersymmetry geometry superfield |
| title | Quasicomplex N=2, d=1 Supersymmetric Sigma Models |
| title_full | Quasicomplex N=2, d=1 Supersymmetric Sigma Models |
| title_fullStr | Quasicomplex N=2, d=1 Supersymmetric Sigma Models |
| title_full_unstemmed | Quasicomplex N=2, d=1 Supersymmetric Sigma Models |
| title_short | Quasicomplex N=2, d=1 Supersymmetric Sigma Models |
| title_sort | quasicomplex n 2 d 1 supersymmetric sigma models |
| topic | supersymmetry geometry superfield |
| url | http://dx.doi.org/10.3842/SIGMA.2013.069 |
| work_keys_str_mv | AT evgenyaivanov quasicomplexn2d1supersymmetricsigmamodels AT andreivsmilga quasicomplexn2d1supersymmetricsigmamodels |