Twist-field representations of W-algebras, exact conformal blocks and character identities
Twist-field representations of W-algebras, exact conformal blocks and character identities
复制标题
W 代数、精确共形块和字符恒等式的扭曲场表示
DOI：
10.1007/jhep08(2018)108
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发表时间：
2017
影响因子：
5.4
通讯作者：
A. Marshakov
中科院分区：
文献类型：
--
作者：
M. Bershtein;P. Gavrylenko;A. Marshakov
本文研究了W-代数的扭域表示，并将相应的顶点算子的构造推广到D-和B-级数。它示出，如何计算这些表示字符导致非平凡的身份涉及格θ函数。我们还提出了一种方法来计算他们的确切的共形块，表示为D-系列的相应的Prym簇的几何数据的覆盖曲线与对合。
A bstractWe study the twist-field representations of W-algebras and generalize construction of the corresponding vertex operators to D- and B-series. It is shown, how the computation of characters of these representations leads to nontrivial identities involving lattice theta-functions. We also propose a way to calculate their exact conformal blocks, expressing them for D-series in terms of geometric data of the corresponding Prym variety for covering curve with involution.
影响因子：
2.8
作者：
BELAVIN, AA;POLYAKOV, AM;ZAMOLODCHIKOV, AB
通讯作者：
ZAMOLODCHIKOV, AB