On the unitarity of gauged non-compact world-sheet supersymmetric WZNW models

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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19 pages, 1 table v3: One reference added, typo's corrected, to appear in Nucl. Phys. B

Scientific paper

10.1016/j.nuclphysb.2008.12.011

In this paper we generalize our investigation of the unitarity of non-compact WZNW models connected to Hermitian symmetric spaces to the N=1 world-sheet supersymmetric extension of these models. We will prove that these models have a unitary spectrum in a BRST approach for antidominant highest weight representations if the level and weights of the gauged subalgebra are integers. We will find new critical string theories in 7 and 9 space-time dimensions.

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