Quantum Dynamics on the Worldvolume from Classical su(n) Cohomology
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Quantum Dynamics on the Worldvolume from Classical su(n) Cohomology
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| Creator |
Isidro, J.M.
Fernández de Córdoba, P. |
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| Description |
A key symmetry of classical p-branes is invariance under worldvolume diffeomorphisms. Under the assumption that the worldvolume, at fixed values of the time, is a compact, quantisable Kähler manifold, we prove that the Lie algebra of volume-preserving diffeomorphisms of the worldvolume can be approximated by su(n), for n → ∞. We also prove, under the same assumptions regarding the worldvolume at fixed time, that classical Nambu brackets on the worldvolume are quantised by the multibrackets corresponding to cocycles in the cohomology of the Lie algebra su(n).
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| Date |
2019-02-19T13:16:26Z
2019-02-19T13:16:26Z 2008 |
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| Type |
Article
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| Identifier |
Quantum Dynamics on the Worldvolume from Classical su(n) Cohomology / J.M. Isidro, P. Fernández de Córdoba // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 20 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 81T30; 17B56 http://dspace.nbuv.gov.ua/handle/123456789/149044 |
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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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