Completely bosonized actions which possess classical Siegel symmetries and which contain interactions between purely lefton currents with purely righton currents are presented. It is argued that these actions correspond to the complete bosonization, at the level of lagrangians, of massless fermionic Thirring models. Both abelian and non-abelian cases are considered. Partial results for the (1,0) supersymmetric extensions of these lagrangians are obtained. The role of these bosonized Thirring models in the coupling of a complete massless spectrum of background fields to compactified string theories is illustrated.
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One of the uses of such fields is in connection to the construction of a-models which generate the effective actions for the massless modes of four-dimensional string theories \[5 ,6 \]. Indeed, the SO (44) four-dimensional heterotic string can be coupled to background scalar fields of an SO (44), N= 4 vector multiplet in the form of a generalized Thirring coupling constant between six left-moving chiral bosons (leftons) interacting with the world-sheet SO (44) current generated right-moving fermions. It was noted \[6 \], there was a need to construct a model wherein these right-moving fermions were also bosonized into non-abelian right-moving chiral bosons (rightons). It was later suggested \[7 \] that the massless scalar fields of any N= 4, D = 4 heterotic string would appear as such a Thirring type coupling in an NSR formulation. However, this argument is only suggestive as no classical action has been constructed which simultaneously includes such coupling and preserves both lefton and righton Siegel symmetries! It is shown in the present work how this can be achieved. An important ingredient in our derivation will be a path integral technique \[8 \] proposed by Karabali, Park and Schnitzer which has Research supported in part by NSF grant #PHY87-46846. Supported by University of Maryland Graduate Fellowship.
ASJC Scopus subject areas
- Nuclear and High Energy Physics