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pro vyhledávání: '"Lin, Xingjun"'
We complete the program for determining the full automorphism groups of all parafermion vertex operator algebras associated with simple Lie algebras and positive integral levels. We show that the full automorphism group of the parafermion vertex oper
Externí odkaz:
http://arxiv.org/abs/2404.17096
Autor:
Dong, Chongying, Lin, Xingjun
For a rational and $C_2$-cofinite vertex operator algebra $V$ with an automorphism group $G$ of prime order, the fusion rules for twisted $V$-modules are studied, a twisted Verlinde formula which relates fusion rules for $g$-twisted modules to the $S
Externí odkaz:
http://arxiv.org/abs/2310.15563
Autor:
Lin, Xingjun
For the affine vertex algebra $V_k(\mathfrak{g})$ at an admissible level $k$ of $\hat{\mathfrak{g}}$, we prove that certain subcategory of weak $V_k(\mathfrak{g})$-module category is semisimple. As a consequence, we show that $V_k(\mathfrak{g})$ is r
Externí odkaz:
http://arxiv.org/abs/2212.09934
Autor:
Lin, Xingjun
In this paper, it is shown that the diagonal coset vertex operator algebra $C(L_{\mathfrak{g}}(k+2,0),L_{\mathfrak{g}}(k,0)\otimes L_{\mathfrak{g}}(2,0))$ is rational and $C_2$-cofinite in case $\mathfrak{g}=so(2n), n\geq 3$ and $k$ is an admissible
Externí odkaz:
http://arxiv.org/abs/2107.09400
Autor:
Lin, Xingjun
In this paper, irreducible modules of the diagonal coset vertex operator algebra $C(L_{\mathfrak{g}}(k+l,0),L_{\mathfrak{g}}(k,0)\otimes L_{\mathfrak{g}}(l,0))$ are classified under the assumption that $C(L_{\mathfrak{g}}(k+l,0),L_{\mathfrak{g}}(k,0)
Externí odkaz:
http://arxiv.org/abs/2104.06785
Autor:
Ai, Chunrui, Lin, Xingjun
In this paper, we investigate the Lie algebra structures of weight one subspaces of $C_2$-cofinite vertex operator superalgebras. We also show that for any positive integer $k$, vertex operator superalgebras $L_{sl(1|n+1)}(k,0)$ and $L_{osp(2|2n)}(k,
Externí odkaz:
http://arxiv.org/abs/2101.10567
Autor:
Lin, Xingjun
In this paper, under the assumption that the diagonal coset vertex operator algebra $C(L_{\mathfrak g}(k+l,0),L_{\mathfrak g}(k,0)\otimes L_{\mathfrak g}(l,0))$ is rational and $C_2$-cofinite, the global dimension of $C(L_{\mathfrak g}(k+l,0),L_{\mat
Externí odkaz:
http://arxiv.org/abs/1910.03945
In this paper, extensions of nonunitary rational Virasoro vertex operator algebras corresponding to some exceptional modular invariants are constructed. The uniqueness of these extensions is also established.
Comment: 19 pages. arXiv admin note:
Comment: 19 pages. arXiv admin note:
Externí odkaz:
http://arxiv.org/abs/1811.02433
Autor:
Lin, Xingjun
Publikováno v:
In Journal of Algebra 15 October 2022 608:645-672
Autor:
Lin, Xingjun1 (AUTHOR) linxingjun88@126.com
Publikováno v:
Communications in Mathematical Physics. Sep2023, Vol. 402 Issue 3, p2765-2790. 26p.