N=4 Multi-Particle Mechanics, WDVV Equation and Roots
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
N=4 Multi-Particle Mechanics, WDVV Equation and Roots
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| Creator |
Lechtenfeld, O.
Schwerdtfeger, K. Thürigen, J. |
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| Description |
We review the relation of N=4 superconformal multi-particle models on the real line to the WDVV equation and an associated linear equation for two prepotentials, F and U. The superspace treatment gives another variant of the integrability problem, which we also reformulate as a search for closed flat Yang-Mills connections. Three- and four-particle solutions are presented. The covector ansatz turns the WDVV equation into an algebraic condition, for which we give a formulation in terms of partial isometries. Three ideas for classifying WDVV solutions are developed: ortho-polytopes, hypergraphs, and matroids. Various examples and counterexamples are displayed.
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| Date |
2019-02-11T15:22:02Z
2019-02-11T15:22:02Z 2011 |
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| Type |
Article
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| Identifier |
N=4 Multi-Particle Mechanics, WDVV Equation and Roots / O. Lechtenfeld, K. Schwerdtfeger, J. Thürigen // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 35 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 70E55; 81Q60; 17B22; 52B40; 05C65 DOI:10.3842/SIGMA.2011.023 http://dspace.nbuv.gov.ua/handle/123456789/146796 |
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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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