A chiral null gauging of Nappi-Witten WZW models yields a closed string with a Gomis-Ooguri-like spectrum, but with different left- and right-moving sectors.
String Propagation in Gravitational Wave Backgrounds
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abstract
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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Non-relativistic quantum strings from gauged WZW models
A chiral null gauging of Nappi-Witten WZW models yields a closed string with a Gomis-Ooguri-like spectrum, but with different left- and right-moving sectors.