Chiral gauged WZNW models and heterotic string backgrounds

Abstract

We construct new heterotic string backgrounds which are analogous to superstring solutions corresponding to coset models but are not simply the `embeddings'of the latter. They are described by the (1,0) supersymmetric extension of the $G/H$ chiral gauged WZNW models. The `chiral gauged' WZNW action differs from the standard gauged WZNW action by the absence of the $A\bar{A}$-term (and thus is not gauge invariant in the usual sense) but can still be expressed as a combination of WZNW actions and is conformal invariant. We explain a close relation between gauged and chiral gauged WZNW models and prove that in the case of the abelian $H$ the $G/H$ chiral gauged theory is equivalent to a particular $(G\times H)/H$ gauged WZNW theory. In contrast to the gauged WZNW model, the chiral gauged one admits a (1,0) supersymmetric extension which is consistent at the quantum level. Integrating out the $2d$ gauge field we determine the exact (in ${\alpha }^{\prime }$) form of the couplings of the corresponding heterotic sigma model. While in the bosonic (superstring) cases all the fields depend (do not depend) non-trivially on ${\alpha }^{\prime }$ here the metric receives only one $O({\alpha }^{\prime })$ correction while the antisymmetric tensor and the dilaton remain semiclassical. As a simplest example, we discuss the basic $D=3$ solution which is the heterotic string counterpart of the `black string' $SL(2,R)\times R/R$ background.

41 pages, harvmac, CERN-TH.6962, USC-93/HEP-S2

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• Integrable sigma models and 2-loop RG flow
• Random Walks in Rindler Spacetime and String Theory at the Tip of the Cigar
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• Duality and Restoration of Manifest Supersymmetry
• Dynamical String Tension in String Theory with Spacetime Weyl Invariance
• Hamiltonian Reduction of Supersymmetric WZNW Models on Bosonic Groups and Superstrings
• Exact O(d,d) Transformations in WZW Models
• Exact monopole instantons and cosmological solutions in string theory from abelian dimensional reduction
• On the Exceptional Gauged WZW Theories
• Chiral Edge States in 2+1 Dimensional Topological Phases