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arXiv · 2603.06015

A class of weight modules over the twisted Heisenberg-Virasoro algebra and gap-$p$ Virasoro algebras

Chengkang Xu·Fen Zhang
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Abstract

In this paper, we construct a class of simple weight modules over the twisted Heisenberg-Virasoro algebra and gap-$p$ Virasoro algebras from restricted modules over some positive part subalgebra of the twisted Heisenberg-Virasoro algebra. These modules are new. In particular, when $p=2$, the gap-$p$ Virasoro algebra is the mirror Heisenberg-Virasoro algebra and we obtain many new simple weight modules for the mirror Heisenberg-Virasoro algebra.

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BibTeXRIS

Chengkang Xu, Fen Zhang. 2026-03-06. A class of weight modules over the twisted Heisenberg-Virasoro algebra and gap-$p$ Virasoro algebras. https://arxiv.org/abs/2603.06015

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