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33 papers · 1 filter
Harmonic N=2 Mechanics
Anton Galajinsky, Olaf Lechtenfeld
N=2 superconformal many-body quantum mechanics in arbitrary dimensions is governed by a single scalar prepotential which determines the bosonic potential and the boson-fermion coup…
OSp(4|2) Superconformal Mechanics
Sergey Fedoruk, Evgeny Ivanov, Olaf Lechtenfeld
A new superconformal mechanics with OSp(4|2) symmetry is obtained by gauging the U(1) isometry of a superfield model. It is the one-particle case of the new N=4 super Calogero mode…
Equivariant reduction of Yang-Mills theory over the fuzzy sphere and the emergent vortices
Derek Harland, Seckin Kurkcuoglu
We consider a U(2) Yang-Mills theory on M x S_F^2 where M is a Riemannian manifold and S_F^2 is the fuzzy sphere. Using essentially the representation theory of SU(2) we determine…
Instantons and Yang-Mills Flows on Coset Spaces
Tatiana A. Ivanova, Olaf Lechtenfeld, Alexander D. Popov +1
We consider the Yang-Mills flow equations on a reductive coset space G/H and the Yang-Mills equations on the manifold R x G/H. On nonsymmetric coset spaces G/H one can introduce ge…
The XXZ model with anti-periodic twisted boundary conditions
Sönke Niekamp, Tobias Wirth, Holger Frahm
We derive functional equations for the eigenvalues of the XXZ model subject to anti-diagonal twisted boundary conditions by means of fusion of transfer matrices and by Sklyanin's m…
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…