Abstract
Let \(\mathcal {M}(p)\) (p = 2,3,…) be the singlet vertex operator algebra and ω its conformal vector. We classify the simple weak \(\mathcal {M}(p)\)-modules with a non-zero element u such that for some integer s ≥ 2, \(\omega _{i} u\in \mathbb {C} u\) (i = ⌊s/2⌋ + 1,⌊s/2⌋ + 2,…,s − 1), \(\omega _{s} u\in \mathbb {C}^{\times } u\), and ωiu = 0 for all i > s.
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Presented by: Peter Littelmann
This research was partially supported by JSPS Grant-in-Aid for Scientific Research No. 15K04770.
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Tanabe, K. Simple Weak Modules for Some Subalgebras of the Heisenberg Vertex Algebra and Whittaker Vectors. Algebr Represent Theor 23, 53–66 (2020). https://doi.org/10.1007/s10468-018-9837-x
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DOI: https://doi.org/10.1007/s10468-018-9837-x