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4 papers · 1 filter
The Geometry of Supersymmetric Sigma-Models
Alexander Sevrin, Jan Troost
We review non-linear sigma-models with (2,1) and (2,2) supersymmetry. We focus on off-shell closure of the supersymmetry algebra and give a complete list of (2,2) superfields. We p…
Off-Shell Formulation of N=2 Non-Linear Sigma-Models
Alexander Sevrin, Jan Troost
We study d=2, N=(2,2) non-linear sigma-models in (2,2) superspace. By analyzing the most general constraints on a superfield, we show that through an appropriate choice of coordina…
A new method to test discrete Painlevé equations
R. Conte, M. Musette
Necessary discretization rules to preserve the Painlevé property are stated. A new method is added to the discrete Painlevé test, which perturbs the continuous limit and generates…
The Definitions of Special Geometry
Ben Craps, Frederik Roose, Walter Troost +1
The scalars in vector multiplets of N=2 supersymmetric theories in 4 dimensions exhibit `special Kaehler geometry', related to duality symmetries, due to their coupling to the vect…