On the twisted G/H topological models

Abstract

The twisted G/H models are constructed as twisted supersymmetric gauged WZW models. We analyze the case of $G=SU(N)$, $H=SU(N_1)\times ...\times SU(N_n)\times U(1{)}^r$ with $rankG=rankH$, and discuss possible generalizations. We introduce a non-abelian bosonization of the $(1,0)$ ghost system in the adjoint of $H$ and in G/H. By computing chiral anomalies in the latter picture we write the quantum action as a decoupled sum of ``matter", gauge and ghost sectors. The action is also derived in the unbosonized version. We invoke a free field parametrization and extract the space of physical states by computing the cohomology of $Q$ , the sum of the BRST gauge-fixing charge and the twisted supersymmetry charge. For a given $G$ we briefly discuss the relation between the various G/H models corresponding to different choices of $H$. The choice $H=G$ corresponds to the topological G/G theory.

27 pages

References in corpus (6)

• Bosonization and QCD in Two Dimensions
• Physical States in G/G Models and 2d Gravity
• $G/G$--Topological Field Theories by Cosetting $G_k$
• Topological Field Theories and Space-Time Singularity
• Topological Matter, Integrable Models and Fusion Rings
• G/G Models and W_N strings

Cited by in corpus (11)

• The BRST formulation of G/H WZNW models
• The string tension in massive $QC{D}_2$
• Mesonic Spectra of Bosonized QCD_2 Models
• The String Tension in Two Dimensional Gauge Theories
• QCD2-Screening, Confinement and Novel non-abelian Solutions
• The Adjoint Vacuum Sector of Massless QCD2
• Gauging Cosets
• Subtleties in QCD theory in Two Dimensions
• The spectrum of states with one current acting on the adjoint vacuum of massless QCD2
• Screening and confinement in large N_f QCD_2 and in N=1 SYM_2
• Construction of BRST invariant states in $G/H$ WZNW models.