arXiv subjects
Publications and source records attributed to Z. Horváth.
The gauge theory-formulation of string-motivated lineal gravity proposed by Cangemi and Jackiw is obtained by dimensional reduction from $(2+1)$ dimensional gravity with a Chern-Simons Lagrangian.
The equivalence of several $SL(3)$ sigma models and their special Abelian duals is investigated in the two loop order of perturbation theory. The investigation is based on extracting and comparing various $β$ functions of the original and dual models. The role of the discrete global symmetries is emphasized.
A modification of the Abelian Duality transformations is proposed guaranteeing that a (not necessarily conformally invariant) $σ$-model be quantum equivalent (at least up to two loops in perturbation theory) to its dual. This requires a somewhat non standard perturbative treatment of the {\sl dual} $σ$-model. Explicit formulae of the modified duality transformation are presented for a special class of block diagonal purely metric $σ$-models.
Various examples of target space duality transformations are investigated up to two loop order in perturbation theory. Our results show that when using the tree level (`naive') transformation rules the dual theories are in general {\it inequivalent} at two loops to the original ones, (both for the Abelian and the non Abelian duality).
Some of the motivations for as well as the main points of the quantization of the Nappi Witten string in the light cone gauge are reviewed.
The vanishing of the anomaly in the recent example of Nappi and Witten, constructed from the Wess-Zumino-Witten model based on a certain non-semisimple group, follows from a more general result valid for gravitational waves. The construction of the metric is explained.}
(Minor corrections and reference added)