Superconformal Sigma Models in Higher Than Two Dimensions

Details Superconformal Sigma Models in Higher Than Two Dimensions Superconformal Sigma Models in Higher Than Two Dimensions

1994-12-19

arxiv.org/abs/hep-th/9412163v1

Nucl.Phys. B443 (1995) 70-84

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, plain tex

Scientific paper

10.1016/0550-3213(95)00081-3

Rigidly superconformal sigma models in higher than two dimensions are constructed. These models rely on the existence of conformal Killing spinors on the $p+1$ dimensional worldvolume $(p\le 5)$, and homothetic conformal Killing vectors in the $d$--dimensional target space. In the bosonic case, substituting into the action a particular form of the target space metric admitting such Killing vectors, we obtain an action with manifest worldvolume conformal symmetry, which describes the coupling of $d-1$ scalars to a conformally flat metric on the worldvolume. We also construct gauged sigma models with worldvolume conformal supersymmetry. The models considered here are generalizations of the singleton actions on $S^p\times S^1$, constructed sometime ago by Nicolai and these authors.

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