Conformal Sigma-Models on Supercoset Targets

Abstract

We investigate the quantum behaviour of sigma models on coset superspaces G/H defined by Z_{2n} gradings of G. We find that, whenever G has vanishing Killing form, there is a choice of WZ term which renders the model quantum conformal, at least to one loop. The choice coincides with that for which the model is known to be classically integrable. This generalizes results for models associated to Z_4 gradings, including IIB superstrings in AdS_5\times S^5.

16 pages, corrected footnote 4 and minor typos, added references

References in corpus (5)

• Non-local charges, Zm gradings and coset space actions
• Mirror Symmetry and Supermanifolds
• Super-Chern-Simons Theory as Superstring Theory
• Tensor products of psl(2|2) representations
• Supermagnets and Sigma models

Cited by in corpus (33)

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• Boundary Spectra in Superspace Sigma-Models
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• Superspace conformal field theory
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• Universal 1-loop divergences for integrable sigma models
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• Yangian Superalgebras in Conformal Field Theory
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• Spectra of Sigma Models on Semi-Symmetric Spaces
• Exact classical solutions of nonlinear sigma models on supermanifolds