IIB flux non-commutativity and the global structure of field theories
IIB flux non-commutativity and the global structure of field theories
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DOI：
10.1007/jhep10(2019)169
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发表时间：
2019-10-15
影响因子：
5.4
通讯作者：
Regalado, Diego
中科院分区：
文献类型：
--
作者：
Etxebarria, Inaki Garcia;Heidenreich, Ben;Regalado, Diego
我们讨论了六维（2，0）理论的整体结构的选择的起源，并根据它们在ALE空间上的IIB弦理论的实现讨论了它们的紧化。我们发现，在场论方面的全球结构的选择的模糊性可以追溯到一个微妙的效果，需要考虑到在IIB orbifold，即已知的非交换性的RR通量在空间中的扭转在无穷远指定边界条件时。作为一个例子，我们展示了如何分类的N = 4理论Aharony，Seiberg和立川可以理解的RR字段在IIB的边界条件的选择。沿着这条路，我们遇到了一个公式的分数瞬数的N = 4 ADE理论的扭转链接配对的合理的同源领域。我们还考虑了六维（1，0）理论，阐明了离散2-形式对称性的通量算子的确定规则。最后，我们分析了四维理论在对偶缺陷下的整体结构问题。
We discuss the origin of the choice of global structure for six dimensional (2, 0) theories and their compactifications in terms of their realization from IIB string theory on ALE spaces. We find that the ambiguity in the choice of global structure on the field theory side can be traced back to a subtle effect that needs to be taken into account when specifying boundary conditions at infinity in the IIB orbifold, namely the known non-commutativity of RR fluxes in spaces with torsion. As an example, we show how the classification of N = 4 theories by Aharony, Seiberg and Tachikawa can be understood in terms of choices of boundary conditions for RR fields in IIB. Along the way we encounter a formula for the fractional instanton number of N = 4 ADE theories in terms of the torsional linking pairing for rational homology spheres. We also consider six-dimensional (1, 0) theories, clarifying the rules for determining commutators of flux operators for discrete 2-form symmetries. Finally, we analyze the issue of global structure for four dimensional theories in the presence of duality defects.