Group properties of osp(2/1;C) gauge transformations
Given an explicit construction of the grade star hermitian adjoint representation of osp(2/1;C) graded Lie algebra, we consider the Baker-Campbell-Hausdorff formula and find reality conditions for the Grassmann-odd trans-formation parameters that multiply the pair of odd generators of the graded Lie...
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| Datum: | 2007 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
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Національний науковий центр «Харківський фізико-технічний інститут» НАН України
2007
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| Schriftenreihe: | Вопросы атомной науки и техники |
| Schlagworte: | |
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/110897 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Group properties of osp(2/1;C) gauge transformations/ K. Ilyenko // Вопросы атомной науки и техники. — 2007. — № 3. — С. 22-27. — Бібліогр.: 17 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | Given an explicit construction of the grade star hermitian adjoint representation of osp(2/1;C) graded Lie algebra, we consider the Baker-Campbell-Hausdorff formula and find reality conditions for the Grassmann-odd trans-formation parameters that multiply the pair of odd generators of the graded Lie algebra. Utilization of su(2)-spinors clarifies the nature of Grassmann-odd transformation parameters and allows one an investigation of the corresponding infinitesimal gauge transformations. We also explore the action of a corresponding group element on an appropriately graded representation space and find that a proper (graded) generalization of hermitian conjugation is consistent with a natural generalization of Dirac adjoint. A corresponding generalization of a unitary transformation is discussed. |
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