Ramond sector of super Liouville theory from instantons on an ALE space

Ramond sector of super Liouville theory from instantons on an ALE space
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DOI:
10.1016/j.nuclphysb.2012.04.001
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发表时间:
2011-10
期刊:
Nuclear Physics
影响因子:
--
通讯作者:
Yuto Ito
Yuto Ito
中科院分区:
其他
文献类型:
--
作者:
Yuto Ito

文献摘要

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我们提出A1 ALE空间上的N=2U(2)规范理论,其渐近完整性不在SU(2)中,对应于超刘维尔理论的Ramond扇区.作为证据,我们表明,瞬子配分函数的理论,没有一个基本的hypermultiplet,计算与这样的holonomies,符合规范或内部产品的惠特克矢量在拉蒙部门。这种对应表明U(2)规范理论的S-对偶交换了具有不同边界条件的扇区。
We propose that N=2U(2) gauge theories on the A1ALE space, with asymptotic holonomies not in SU(2), correspond to the Ramond sector of super Liouville theory. As evidence, we show that the instanton partition functions for the theories with and without a fundamental hypermultiplet, computed with such holonomies, coincide with the norms or the inner products of the Whittaker vectors in the Ramond sector. This correspondence suggests that S-duality of U(2) gauge theories interchanges the sectors with different boundary conditions.