A $$\mathbb{Z}_{2}$$-orbifold model of the symplectic fermionic vertex operator superalgebra
A $$\mathbb{Z}_{2}$$-orbifold model of the symplectic fermionic vertex operator superalgebra
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DOI：
10.1007/s00209-006-0048-5
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发表时间：
2007-01
影响因子：
0.8
通讯作者：
T. Abe
中科院分区：
文献类型：
--
作者：
T. Abe
我们给出了一个无理C2-余有限顶点算子代数的例子，它的中心荷是− 2d，对任何正整数。这个顶点算子代数是d对辛费米子生成的顶点算子超代数的偶部分，它是Kausch给出的c = −2-triplet代数在c = 1情形下的实现。我们还对这类顶点算子代数的不可约模进行了分类，并确定了它的自同构群。
We give an example of an irrationalC2-cofinite vertex operator algebra whose central charge is −2dfor any positive integerd. This vertex operator algebra is given as the even part of the vertex operator superalgebra generated bydpairs of symplectic fermions, and it is just the realization of thec= −2-triplet algebra given by Kausch in the cased= 1. We also classify irreducible modules for this vertex operator algebra and determine its automorphism group.