Quasicomplex N=2, d=1 Supersymmetric Sigma Models
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Quasicomplex N=2, d=1 Supersymmetric Sigma Models
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| Creator |
Ivanov, E.A.
Smilga, A.V. |
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| 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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| Date |
2019-02-21T07:14:07Z
2019-02-21T07:14:07Z 2013 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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