On the twisted G/H topological models

Details On the twisted G/H topological models On the twisted G/H topological models

1992-08-13

arxiv.org/abs/hep-th/9208040v1

Nucl.Phys.B399:560-580,1993

Physics

High Energy Physics

High Energy Physics - Theory

27 pages

Scientific paper

10.1016/0550-3213(93)90509-N

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 $rank\ G =\ rank\ H$, 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.

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