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The Character of Pure Spinors

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Abstract

The character of holomorphic functions on the space of pure spinors in 10, 11 and 12 dimensions is calculated. From this character formula, we derive in a manifestly covariant way various central charges which appear in the pure spinor formalism for the superstring. We also derive in a simple way the zero momentum cohomology of the pure spinor BRST operator for the D=10 and D=11 superparticle

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Authors and Affiliations

  1. Instituto de Física Teórica, Universidade Estadual Paulista, Saõ Paulo, SP, 01405, Brasi

    Nathan Berkovits

  2. Institute des Hautes Etudes Scientifiques, Le Bois-Marie, Bures-sur-Yvette, F-91440, France

    Nikita A. Nekrasov

  3. Institute for Theoretical and Experimental Physics, 117259, Moscow, Russia

    Nikita A. Nekrasov

Authors
  1. Nathan Berkovits
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  2. Nikita A. Nekrasov
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Correspondence to Nikita A. Nekrasov.

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Mathematics Subject Classifications (2000): 81T30, 83E30, 83E50

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Berkovits, N., Nekrasov, N.A. The Character of Pure Spinors. Lett Math Phys 74, 75–109 (2005). https://doi.org/10.1007/s11005-005-0009-7

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  • DOI: https://doi.org/10.1007/s11005-005-0009-7

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