String Propagation in Gravitational Wave Backgrounds

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LateX file, 13pp., CERN-TH.7059/93 (Some typos coorected and a few remarks added)

Scientific paper

10.1016/0370-2693(94)90655-6

The Conformal Field Theory of the current algebra of the centrally extended 2-d Euclidean group is analyzed. Its representations can be written in terms of four free fields (without background charge) with signature ($-$+++). We construct all irreducible representations of the current algebra with unitary base out of the free fields and their orbifolds. This is used to investigate the spectrum and scattering of strings moving in the background of a gravitational wave. We find that all the dynamics happens in the transverse space or the longitunal one but not both.

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