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Analytic expressions for singular vectors of theN=2 superconformal algebra

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Abstract

Using explicit expressions for a class of singular vectors of theN=2 (untwisted) algebra and following the approach of Malikov-Feigin-Fuchs and Kent, we show that the analytically extended Verma modules contain two linearly independent neutral singular vectors at the same grade. We construct this two dimensional space and we identify the singular vectors of the original Verma modules. We show that in some Verma modules these expressions lead to two linearly independent singular vectors which are at the same grade and have the same charge.

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Authors and Affiliations

  1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, CB3 9EW, Cambridge, UK

    Matthias Dörrzapf

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  1. Matthias Dörrzapf
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Communicated by R.H. Dijkgraaf

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Dörrzapf, M. Analytic expressions for singular vectors of theN=2 superconformal algebra. Commun.Math. Phys. 180, 195–231 (1996). https://doi.org/10.1007/BF02101186

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  • DOI: https://doi.org/10.1007/BF02101186

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