Sebastian Guttenberg et al JHEP06(2004)030 doi:10.1088/1126-6708/2004/06/030
Sebastian Guttenberg1, Johanna Knapp1 and Maximilian Kreuzer1
Show affiliationsIn 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.
11.25.Hf Conformal field theory, algebraic structures
11.10.Lm Nonlinear or nonlocal theories and models
Issue 06 (June 2004)
Received 3 June 2004, accepted for publication 16 June 2004
Published 24 June 2004
Sebastian Guttenberg et al JHEP06(2004)030
Adriaan M H van der Veen et al 2005 Metrologia 42 08004
E Loginova et al 2009 New J. Phys. 11 063046
Stefan Legel et al 2008 New J. Phys. 10 045016
Julien Serreau JHEP05(2004)078
Allan Adams and Jarah Evslin JHEP02(2003)029
C R Quétel et al 2007 Metrologia 44 08010
Allan Adams et al JHEP10(2001)029
Joële Viallon et al 2006 Metrologia 43 08010
Y Aregbe and P D P Taylor 2006 Metrologia 43 08006