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Abstract: We investigate the unitarity of strings on non-trivial space-time backgroundsbased on gauged WZNW models involving SOn,2, gauging an SOn,1 subgroup. Asgeometric coset spaces, these are Anti de Sitter spaces. Our present models aremore complicated than the ones considered previously, for example thoseconnected to Hermitian symmetric spaces. In the present case, the time-likefield component is not a center of the maximal compact subalgebra, leading toseveral additional complications. Assuming discrete representations, it willonly be possible to consider n even, resulting in odd dimensional spaces. Wewill prove that such models are free of ghosts for a class of discreterepresentations.



Autor: Jonas Bjornsson, Stephen Hwang

Fuente: https://arxiv.org/



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