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

preprint1993arXivOpen access

Abstract

We formulate WZW models based on a centrally extended version of the Euclidean group in dd-dimensions. We obtain string backgrounds corresponding to conformal $\s$-models in D=d2D=d^2 space-time dimensions with exact central charge c=d2c=d^2 and d(d−1)/2d(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.

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