dc.identifier.uri |
http://dx.doi.org/10.15488/2602 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/2628 |
|
dc.contributor.author |
Lechtenfeld, Olaf
|
|
dc.contributor.author |
Schwerdtfeger, Konrad
|
|
dc.contributor.author |
Thürigen, Johannes
|
|
dc.date.accessioned |
2018-01-19T08:08:13Z |
|
dc.date.available |
2018-01-19T08:08:13Z |
|
dc.date.issued |
2011 |
|
dc.identifier.citation |
Lechtenfeld, O.; Schwerdtfeger, K.; Thürigen, J.: N=4 multi-particle mechanics, WDVV equation and roots. In: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 7 (2011), 23. DOI: https://doi.org/10.3842/SIGMA.2011.023 |
|
dc.description.abstract |
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. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Kiew : National Academy of Science of Ukraine |
|
dc.relation.ispartofseries |
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 7 (2011) |
|
dc.rights |
CC BY-SA 4.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by-sa/4.0/ |
|
dc.subject |
Calogero models |
eng |
dc.subject |
Deformed root systems |
eng |
dc.subject |
Superconformal mechanics |
eng |
dc.subject |
WDVV equation |
eng |
dc.subject.ddc |
510 | Mathematik
|
ger |
dc.title |
N=4 multi-particle mechanics, WDVV equation and roots |
|
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.issn |
18150659 |
|
dc.relation.doi |
https://doi.org/10.3842/SIGMA.2011.023 |
|
dc.bibliographicCitation.volume |
7 |
|
dc.bibliographicCitation.firstPage |
23 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|