WDVV solutions from orthocentric polytopes and Veselov systems
| dc.creator | Lechtenfeld, Olaf | |
| dc.date | 2008-05-21 | |
| dc.date | 2008-06-26 | |
| dc.date.accessioned | 2026-07-07T09:46:33Z | |
| dc.date.available | 2026-07-07T09:46:33Z | |
| dc.description | N=4 superconformal n-particle quantum mechanics on the real line is governed by two prepotentials, U and F, which obey a system of partial nonlinear differential equations generalizing the Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equation. For U=0 one remains with the WDVV equation which suggests an ansatz for F in terms of a set of covectors to be found. One approach constructs such covectors from suitable polytopes, another method solves Veselov's \vee-conditions in terms of deformed Coxeter root systems. I relate the two schemes for the A_n example. | |
| dc.description | 1+10 pages, 3 figures, contribution to a volume in honor of Ioseph L. Buchbinder; v2: minor corrections in sect.5 | |
| dc.identifier | https://arxiv.org/abs/0805.3245 | |
| dc.identifier | http://arxiv.org/abs/0805.3245 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163568 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.title | WDVV solutions from orthocentric polytopes and Veselov systems | |
| dc.type | text |