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arXiv · 1201.1338

Unitary modules for the twisted Heisenberg-Virasoro algebra

Xiufu Zhang·Shaobin Tan
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Abstract

In this paper, the conjugate-linear anti-involutions and the unitary irreducible modules of the intermediate series over the twisted Heisenberg-Virasoro algebra are classified respectively. We prove that any unitary irreducible module of the intermediate series over the twisted Heisenberg-Virasoro algebra is of the form $\mathcal{A}_{a,b,c}$ for $a\in \mathbb{R}, b\in 1/2+\sqrt{-1}\mathbb{R}, c\in \mathbb{C}.$

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Xiufu Zhang, Shaobin Tan. 2012-01-06. Unitary modules for the twisted Heisenberg-Virasoro algebra. https://arxiv.org/abs/1201.1338

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