98 citations · 234 across the 6 of their papers we have counts for
4 papers · 1 filter
Supersymmetric Calogero models by gauging
Sergey Fedoruk, Evgeny Ivanov, Olaf Lechtenfeld
New superconformal extensions of d=1 Calogero-type systems are obtained by gauging the U(n) isometry of matrix superfield models. We consider the cases of N=1, N=2 and N=4 one-dime…
On the N=2 Supersymmetric Camassa-Holm and Hunter-Saxton Equations
Jonatan Lenells, Olaf Lechtenfeld
We consider N=2 supersymmetric extensions of the Camassa-Holm and Hunter-Saxton equations. We show that they admit geometric interpretations as Euler equations on the superconforma…
Yang-Mills Instantons and Dyons on Group Manifolds
Tatiana A. Ivanova, Olaf Lechtenfeld
We consider Euclidean SU(N) Yang-Mills theory on the space GxR, where G is a compact semisimple Lie group, and introduce first-order BPS-type equations which imply the full Yang-Mi…
N=4 mechanics, WDVV equations and roots
Anton Galajinsky, Olaf Lechtenfeld, Kirill Polovnikov
N=4 superconformal multi-particle quantum mechanics on the real line is governed by two prepotentials, U and F, which obey a system of partial differential equations linear in U an…