On the Covariant Quantization of Type II Superstrings

Details On the Covariant Quantization of Type II Superstrings On the Covariant Quantization of Type II Superstrings

2004-05-02

arxiv.org/abs/hep-th/0405007v3

JHEP 0406 (2004) 030

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, LaTeX, typos corrected

Scientific paper

10.1088/1126-6708/2004/06/030

In a series of papers Grassi, Policastro, Porrati and van Nieuwenhuizen have introduced a new method to covariantly quantize the GS-superstring by constructing a resolution of the pure spinor constraint of Berkovits' approach. Their latest version is based on a gauged WZNW model and a definition of physical states in terms of relative cohomology groups. We first put the off-shell formulation of the type II version of their ideas into a chirally split form and directly construct the free action of the gauged WZNW model, thus circumventing some complications of the super group manifold approach to type II. Then we discuss the BRST charges that define the relative cohomology and the N=2 superconformal algebra. A surprising result is that nilpotency of the BRST charge requires the introduction of another quartet of ghosts.

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