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....
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2013 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2013
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149361 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Quasicomplex N=2, d=1 Supersymmetric Sigma Models / E.A. Ivanov, A.V. Smilga // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 24 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862709859709878272 |
|---|---|
| author | Ivanov, E.A. Smilga, A.V. |
| author_facet | Ivanov, E.A. Smilga, A.V. |
| citation_txt | Quasicomplex N=2, d=1 Supersymmetric Sigma Models / E.A. Ivanov, A.V. Smilga // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 24 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T17:20:04Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149361 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T17:20:04Z |
| publishDate | 2013 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ivanov, E.A. Smilga, A.V. 2019-02-21T07:14:07Z 2019-02-21T07:14:07Z 2013 Quasicomplex N=2, d=1 Supersymmetric Sigma Models / E.A. Ivanov, A.V. Smilga // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 24 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81Q60; 81T60; 14F40 DOI: http://dx.doi.org/10.3842/SIGMA.2013.069 https://nasplib.isofts.kiev.ua/handle/123456789/149361 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. We are indebted to S. Fedoruk for useful discussions. E.I. would like to thank SUBATECH,
 Universit´e de Nantes, for the warm hospitality in the course of this study. His work was carried
 out under the Convention No 2010 11780. He also acknowledges support from the RFBR grants
 09-01-93107, 11-02-90445, 12-02-00517 and a grant of the IN2P3-JINR Programme for 2012. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Quasicomplex N=2, d=1 Supersymmetric Sigma Models Article published earlier |
| spellingShingle | Quasicomplex N=2, d=1 Supersymmetric Sigma Models Ivanov, E.A. Smilga, A.V. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149361 |
| work_keys_str_mv | AT ivanovea quasicomplexn2d1supersymmetricsigmamodels AT smilgaav quasicomplexn2d1supersymmetricsigmamodels |