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On the covariant quantization of type-II superstrings

Sebastian Guttenberg1, Johanna Knapp1 and Maximilian Kreuzer1

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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.


Keywords

Superstrings and Heterotic Strings

BRST Symmetry

Conformal Field Models in String Theory

PACS

11.25.Hf Conformal field theory, algebraic structures

11.10.Lm Nonlinear or nonlocal theories and models

11.10.Ef Lagrangian and Hamiltonian approach

11.30.-j Symmetry and conservation laws

Subjects

Particle physics and field theory

Dates

Issue 06 (June 2004)

Received 3 June 2004, accepted for publication 16 June 2004

Published 24 June 2004



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