On the Covariant Quantization of Type II Superstrings

Abstract

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.

27 pages, LaTeX, typos corrected

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Cited by in corpus (8)

• The WZNW model on PSU(1,1|2)
• Origin of Pure Spinor Superstring
• Vertex Operators for Closed Superstrings
• Note About Classical Dynamics of Pure Spinor String on AdS_5 x S_5 Background
• N=4 Superconformal Symmetry for the Covariant Quantum Superstring
• Note About Redefinition of BRST Operator for Pure Spinor String in General Background
• Non-BPS D-Branes in Light-Cone Green-Schwarz Formalism
• Towards Pure Spinor Type Covariant Description of Supermembrane -- An Approach from the Double Spinor Formalism --