## Abstract

We discuss solutions of the heterotic string theory which are analogous to bosonic and superstring backgrounds related to coset conformal field theories. A class of exact "left-right symmetric" solutions is obtained by supplementing the metric, antisymmetric tensor and dilaton of the superstring solutions by the gauge field background equal to the generalised Lorentz connection with torsion. As in the superstring case, these backgrounds are α′-independent, i.e. have "semiclassical" form. The corresponding heterotic string sigma model is obtained from the combination of the (1, 0) supersymmetric gauged WZNW action with the action of internal fermions coupled to the target space gauge field. The pure (1, 0) supersymmetric gauged WZNW theory is anomalous and does not describe a consistent heterotic string solution. We also find (to the order α′^{3}) a two-dimensional perturbative heterotic string solution with the trivial gauge field background. To the leading order in α′ it coincides with the unknown SL(2, R)/U(1) bosonic of superstring solutions. This solution does not correspond to a 'heterotic' combination of the left superstring and right bosonic L_{0}-operators at the conformal field theory level. Some duality properties of the heterotic string solutions are studied.

Original language | English |
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Pages (from-to) | 339-362 |

Number of pages | 24 |

Journal | Nuclear Physics B |

Volume | 409 |

Issue number | 2 |

DOIs | |

State | Published - 29 Nov 1993 |

### Bibliographical note

Funding Information:This work was supported in part by the Israel Academy of Sciences and by the BSF — American—Israeli Bi-National Science Foundation. A.A. Tseytlin is grateful to the Racah Institute, Jerusalem, for hospitality while part of this work was done. He would like also to acknowledge a partial support of SERC.