Holonomy groups and W-symmetries
High Energy Physics - Theory
2009-10-09 v2
Abstract
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.
Cite
@article{arxiv.hep-th/9202036,
title = {Holonomy groups and W-symmetries},
author = {P. S. Howe and G. Papadopoulos},
journal= {arXiv preprint arXiv:hep-th/9202036},
year = {2009}
}
Comments
pages 21