Permutation orbifolds of the Heisenberg vertex algebra H(3)
Permutation orbifolds of the Heisenberg vertex algebra H(3)
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DOI：
10.1063/1.5045164
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发表时间：
2018-04
影响因子：
1.3
通讯作者：
A. Milas;M. Penn;Hanbo Shao
中科院分区：
文献类型：
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作者：
A. Milas;M. Penn;Hanbo Shao
从生成子和关系的角度研究了三阶Heisenberg顶点代数的s3 -轨道。利用不变量理论，证明了轨道代数有一个最小强生成集，其共形权为1,2,3,4,5,62（两个6次生成集）。用类似的方法确定了环状z3轨道的结构。我们还研究了轨道代数的模的性质。
We study the S3-orbifold of a rank three Heisenberg vertex algebra in terms of generators and relations. By using invariant theory, we prove that the orbifold algebra has a minimal strong generating set of vectors whose conformal weights are 1, 2, 3, 4, 5, 62 (two generators of degree 6). The structure of the cyclic Z3-orbifold is determined by similar methods. We also study characters of modules for the orbifold algebra.