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- W4308755890 abstract "We pursue our study of generalised Kac-Moody and Virasoro algebras defined on compact homogeneous manifolds. Extending the well-known Vertex operator in the case of the two-torus or the two-sphere, we obtain explicit bosonic realisations of the semi-direct product of the extension of Kac-Moody and Virasoro algebras on $mathbb S^1 times mathbb S^1$ and $mathbb S^2$, respectively. As for the fermionic realisation previously constructed, in order to have well defined algebras, we introduce, beyond the usual normal ordering prescription, a regulator and regularise infinite sums by means of the Riemann $zeta$-function." @default.
- W4308755890 created "2022-11-15" @default.
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- W4308755890 date "2022-11-08" @default.
- W4308755890 modified "2023-09-27" @default.
- W4308755890 title "Vertex operator for generalised Kac--Moody algebras associated to the two-sphere and the two-torus" @default.
- W4308755890 doi "https://doi.org/10.48550/arxiv.2211.04201" @default.
- W4308755890 hasPublicationYear "2022" @default.
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