Exact string backgrounds from WZW models based on non-semi-simple groups

Abstract

We formulate WZW models based on a centrally extended version of the Euclidean group in $d$-dimensions. We obtain string backgrounds corresponding to conformal $\s$-models in $D=d^2$ space-time dimensions with exact central charge $c=d^2$ and $d(d-1)/2$ null Killing vectors. By identifying the corresponding conformal field theory we show that the one loop results coincide with the exact ones up to a shifting of a parameter.

10 pages, harvmac, THU-93/31 (A reference is added and a few minor mistakes are corrected)

References in corpus (1)

• A WZW model based on a non-semi-simple group

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