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5 papers · 2 filters
Supersymmetric Klein-Gordon and Dirac oscillators
Alexander D. Popov
We have recently shown that the space of initial data (covariant phase space) of the relativistic oscillator in Minkowski space is a homogeneous Kähler-Einstein…
Integrability and renormalizability for the fully anisotropic principal chiral field and its deformations
G. A. Kotousov, D. A. Shabetnik
For the class of dimensional field theories referred to as the non-linear sigma models, there is known to be a deep connection between classical integrability and one-loop re…
Nicolai maps for super Yang-Mills on the light cone
Olaf Lechtenfeld
We construct Nicolai maps for supersymmetric Yang-Mills theory in four and ten spacetime dimensions in the light-cone gauge, where the elimination of non-propagating degrees of fre…
Finite-size spectrum of the staggered six-vertex model with antidiagonal boundary conditions
Holger Frahm, Sascha Gehrmann
The finite-size spectrum of the critical staggered six-vertex model with antidiagonal boundary conditions is studied. Similar to the case of periodic boundary conditions, we identi…
On Dirac equations on phase spaces
Alexander D. Popov
We consider Dirac equations on relativistic phase spaces , where is Minkowski space with . We use the geometric quantization ap…