Four-dimensional lens space index from two-dimensional chiral algebra

Four-dimensional lens space index from two-dimensional chiral algebra
复制标题

二维手征代数的四维透镜空间指数

DOI:
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发表时间:
2017
影响因子:
5.4
通讯作者:
Jaewon Song
Jaewon Song
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Martin Fluder;Jaewon Song

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摘要我们研究 S1 × L(r, 1) 上的超对称配分函数,或者四维 N=2$$ mathcal{N}=2 $$ 超共形场论的透镜空间指数及其与二维手征代数的联系。我们主要关注自由理论以及 (A1, Ak) 和 (A1, Dk) 类型的 ArgyresDouglas 理论。我们观察到,在特定限制下,透镜空间索引是根据相关二维手性代数或广义顶点算子代数的适当扭曲模块的(细化)特征来再现的。特定的扭曲模块是通过选择四维风味对称性的离散完整函数来确定的。
A bstractWe study the supersymmetric partition function on S1 × L(r, 1), or the lens space index of four-dimensional N=2$$ mathcal{N}=2 $$ superconformal field theories and their connection to two-dimensional chiral algebras. We primarily focus on free theories as well as ArgyresDouglas theories of type (A1, Ak) and (A1, Dk). We observe that in specific limits, the lens space index is reproduced in terms of the (refined) character of an appropriately twisted module of the associated two-dimensional chiral algebra or a generalized vertex operator algebra. The particular twisted module is determined by the choice of discrete holonomies for the flavor symmetry in four-dimensions.
透镜空间上超共形指数的 S 对偶性和二维 TQFT
DOI: 10.1007/jhep05(2013)122
发表时间: 2013
影响因子: 5.4
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DOI: 10.1007/jhep11(2017)035
发表时间: 2017
影响因子: 5.4
作者:
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