Holonomy groups and W-symmetries

Details Holonomy groups and W-symmetries Holonomy groups and W-symmetries

1992-02-12

arxiv.org/abs/hep-th/9202036v2

Commun.Math.Phys.151:467-480,1993

Physics

High Energy Physics

High Energy Physics - Theory

pages 21

Scientific paper

10.1007/BF02097022

Irreducible sigma models, i.e. those for which the partition function does not factorise, are defined on Riemannian spaces with irreducible holonomy groups. These special geometries are characterised by the existence of covariantly constant forms which in turn give rise to symmetries of the supersymmetric sigma model actions. The Poisson bracket algebra of the corresponding currents is a W-algebra. Extended supersymmetries arise as special cases.

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