TY - JOUR
T1 - The quantum superstring as a WZNW model with N=2 superconformal symmetry
AU - Grassi, P. A.
AU - Policastro, G.
AU - van Nieuwenhuizen, P.
N1 - Funding Information:
We thank the Ecole Normale Supérieure at Paris and its director Eugène Cremmer for a stay of a month during which this work was begun. Part of this research was supported by NSF Grant PHY-0098527. G.P. is supported by PPARC.
PY - 2004/1/5
Y1 - 2004/1/5
N2 - We present a new development in our approach to the covariant quantization of superstrings in 10 dimensions which is based on a gauged WZNW model. To incorporate worldsheet diffeomorphisms we need the quartet of ghosts (bzz,cz, βzz, γz) for topological gravity. The currents of this combined system form an N=2 superconformal algebra. The model has vanishing central charge and contains two anticommuting BRST charges, QS=QW+∮γ zbzz and QV=∮cz (TWzz+ (1/2)Ttopzz)+γ z(BW zz+(1/2)Btop zz-(1/2)cz Fzzz-(1/4)γ zΦzzz). Physical states form the cohomology of QS+QV+∮η z, where ηz is obtained by the usual fermionization of βzz,γz, have non-negative grading, and are annihilated by b0 and β0. We no longer introduce any ghosts by hand, and the formalism is completely Lorentz covariant.
AB - We present a new development in our approach to the covariant quantization of superstrings in 10 dimensions which is based on a gauged WZNW model. To incorporate worldsheet diffeomorphisms we need the quartet of ghosts (bzz,cz, βzz, γz) for topological gravity. The currents of this combined system form an N=2 superconformal algebra. The model has vanishing central charge and contains two anticommuting BRST charges, QS=QW+∮γ zbzz and QV=∮cz (TWzz+ (1/2)Ttopzz)+γ z(BW zz+(1/2)Btop zz-(1/2)cz Fzzz-(1/4)γ zΦzzz). Physical states form the cohomology of QS+QV+∮η z, where ηz is obtained by the usual fermionization of βzz,γz, have non-negative grading, and are annihilated by b0 and β0. We no longer introduce any ghosts by hand, and the formalism is completely Lorentz covariant.
UR - http://www.scopus.com/inward/record.url?scp=0345490627&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2003.10.008
DO - 10.1016/j.nuclphysb.2003.10.008
M3 - Article
SN - 0550-3213
VL - 676
SP - 43
EP - 63
JO - Nuclear Physics B
JF - Nuclear Physics B
IS - 1-2
ER -