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.
Representations of affine Nappi-Witten Lie algebras over polynomial algebras
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abstract
In this paper, we study the representation theory of affine Nappi-Witten Lie algebra $\widehat{H_4}$ corresponding to the Nappi-Witten Lie algebra $H_4$. We completely classify all Cartan-free modules of rank one for the Nappi-Witten Lie algebra $H_4$. With the help of Cartan free $H_4$ modules we classify all Cartan-free modules of rank one over affine Nappi Witten Lie algebra. We also give a necessary and sufficient condition for these modules to be irreducible. Finally as an application we classify Cartan free modules of rank one for affine-Virasoro Nappi-Witten Lie algebras.
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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.