Twisted restricted conformal blocks of vertex operator algebras I: -twisted correlation functions and fusion rules
X Gao, J Liu, Y Zhu - arxiv preprint arxiv:2312.16278, 2023 - arxiv.org
In this paper, we introduce a notion of $ g $-twisted restricted conformal block on the three-
pointed twisted projective line $\mathfrak {x}\colon\overline {C}\to\mathbb {P^ 1} …
pointed twisted projective line $\mathfrak {x}\colon\overline {C}\to\mathbb {P^ 1} …
[책][B] Correlation Functions, Fusion Rules, and the Classical Yang-Baxter Equation of Vertex Operator Algebras
J Liu - 2023 - search.proquest.com
We introduce the notion of space of correlation functions associated with three modules M 1,
M 2, and M 3 over a vertex operator algebra V. By studying the relations between the space …
M 2, and M 3 over a vertex operator algebra V. By studying the relations between the space …
One-point restricted conformal blocks and the fusion rules
J Liu - arxiv preprint arxiv:2411.06313, 2024 - arxiv.org
We investigate the one-point restriction of the conformal blocks on $(\mathbb {P}^ 1,\infty, w,
0) $ defined by modules over a vertex operator algebra. By restricting the module attached …
0) $ defined by modules over a vertex operator algebra. By restricting the module attached …
Noetherianity of twisted Zhu's algebras and bimodules
J Liu - Proceedings of the Edinburgh Mathematical Society, 2021 - cambridge.org
In this paper, we show that for a large natural class of vertex operator algebras (VOAs) and
their modules, the Zhu's algebras and bimodules (and their g-twisted analogs) are …
their modules, the Zhu's algebras and bimodules (and their g-twisted analogs) are …