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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| Дата: | 2013 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2013
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.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| id |
irk-123456789-149361 |
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dspace |
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irk-123456789-1493612019-02-22T01:23:20Z Quasicomplex N=2, d=1 Supersymmetric Sigma Models Ivanov, E.A. Smilga, A.V. 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. 2013 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/149361 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Ivanov, E.A. Smilga, A.V. |
| spellingShingle |
Ivanov, E.A. Smilga, A.V. Quasicomplex N=2, d=1 Supersymmetric Sigma Models Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Ivanov, E.A. Smilga, A.V. |
| author_sort |
Ivanov, E.A. |
| title |
Quasicomplex N=2, d=1 Supersymmetric Sigma Models |
| title_short |
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_sort |
quasicomplex n=2, d=1 supersymmetric sigma models |
| publisher |
Інститут математики НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149361 |
| 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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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2023-05-20T17:32:49Z |
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2023-05-20T17:32:49Z |
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