A Note on c = 1 Virasoro Boundary States and Asymmetric Shift Orbifolds
A Note on c = 1 Virasoro Boundary States and Asymmetric Shift Orbifolds
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关于 c = 1 Virasoro 边界态和非对称平移轨道折叠的注记
DOI：
10.1088/1126-6708/2002/04/051
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发表时间：
2002
影响因子：
5.4
通讯作者：
L. Tseng
中科院分区：
文献类型：
--
作者：
L. Tseng
我们评论了 c = 1 自由玻色子理论在不保留 U(1) 对称性的圆上的共形边界态。我们通过作用于自对偶半径的基本边界态的简单非对称平移轨道在通用半径处构造这些 Virasoro 边界态。我们进一步计算边界熵，发现无理半径处的Virasoro边界态具有无穷大的边界熵。使用商代数构造给出了不对称轨道折叠的相应开弦描述。此外，我们发现与非基本边界状态相关的商代数包含非交换的韦尔代数。
We comment on the conformal boundary states of the c = 1 free boson theory on a circle which do not preserve the U(1) symmetry. We construct these Virasoro boundary states at a generic radius by a simple asymmetric shift orbifold acting on the fundamental boundary states at the self-dual radius. We further calculate the boundary entropy and find that the Virasoro boundary states at irrational radius have infinite boundary entropy. The corresponding open string description of the asymmetric orbifold is given using the quotient algebra construction. Moreover, we find that the quotient algebra associated with a non-fundamental boundary state contains the noncommutative Weyl algebra.