Supersymmetric sigma models and harmonic superfunctions

Abstract

We study the relation between the Laplacian associated to an odd metric on a supermanifold and harmonic superfunctions, through the application of the calculus of variations to a supersymmetric sigma model.

arXiv commentAlready published. Placed here for archiving purposes

References in corpus (7)

• Geometry of Batalin-Vilkovisky quantization
• On odd Laplace operators
• Odd Scalar Curvature in Anti-Poisson Geometry
• The Poincaré-Cartan Form in Superfield Theory
• Supermetrics on supermanifolds
• Quantization of the topological $\sigma$-model and the master equation of the BF formalism
• Geometry of differential operators, odd Laplacians, and homotopy algebras