Representations of affine Nappi-Witten Lie algebras over polynomial algebras

Priyanshu Chakraborty; Santanu Tantubay

Representations of affine Nappi-Witten Lie algebras over polynomial algebras

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arxiv 2406.13562 v2 pith:L4FU47WD submitted 2024-06-19 math.RT

Priyanshu Chakraborty , Santanu Tantubay This is my paper · ORCID

classification math.RT

keywords modulesnappi-wittenalgebraaffinealgebrasclassifyrankcartan

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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
hep-th 2025-05 conditional novelty 7.0 of 10

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.

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