Holonomy groups andW-symmetries
Copyright policy )Holonomy groups andW-symmetries
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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- Queen Mary University of London United Kingdom
- King's College London United Kingdom
- Physics Department United States
- King’s College London
- Department of Mathematics
High Energy Physics - Theory, covariantly constant forms, partition function, 58E20, supersymmetric sigma model, FOS: Physical sciences, 53C25, Applications of differential geometry to physics, High Energy Physics - Theory (hep-th), 81T40, 81R10, 81T60, Supersymmetric field theories in quantum mechanics
High Energy Physics - Theory, covariantly constant forms, partition function, 58E20, supersymmetric sigma model, FOS: Physical sciences, 53C25, Applications of differential geometry to physics, High Energy Physics - Theory (hep-th), 81T40, 81R10, 81T60, Supersymmetric field theories in quantum mechanics
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