A note on 3D $ \mathcal{N} $ = 2 dualities: real mass flow and partition function

A note on 3D $ \mathcal{N} $ = 2 dualities: real mass flow and partition function
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关于 3D $ mathcal{N} $ = 2 对偶性的注释:实质量流量和配分函数

DOI:
10.1007/jhep03(2014)064
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发表时间:
2013
影响因子:
5.4
通讯作者:
A. Amariti
A. Amariti
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
A. Amariti

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我们研究了三维数学{N}=2超对称场论中两类著名的对偶。在第一类中,存在涉及单极算符的非平凡相互作用,而在第二类中,对偶规范理论的作用中包含了Chern-Simons项。连接第一对偶对和第二对偶的RG流已被研究过,并在被挤压的三球面上对配分函数进行了检验。最近,在么正规范群的情况下,研究了连接第二对偶对和第一对偶的相反的RG流。本文研究了被挤压的三球面上配分函数的这一流。我们证明了原对偶模型的配分函数之间的等价性在IR中是保持的,在IR中达到另一个对偶对。我们将这种分析推广到辛群和正交群的情况。
A bstractWe study two well-known classes of dualities in three dimensional $ \mathcal{N} $ = 2 supersymmetric field theories. In the first class there are non trivial interactions involving monopole operators while in the second class the dual gauge theories have Chern-Simons terms in the action. An RG flows connecting the first dual pair to the second one has been studied in the past and tested on the partition function on the squashed three sphere. Recently an opposite RG flow connecting the second dual pair to the first one has been studied in the case of unitary gauge groups. In this paper we study this flow on the partition function on the squashed three sphere. We verify that the equality between the partition functions of the original dual models is preserved in the IR, where the other dual pair is reached. We generalize the analysis to the case of symplectic and of orthogonal groups.
DOI: 10.1007/jhep05(2011)014
发表时间: 2011-02
影响因子: 5.4
作者:
Naofumi Hama;Kazuo Hosomichi;Sungjay Lee
通讯作者: Naofumi Hama;Kazuo Hosomichi;Sungjay Lee
超对称增强 RG 流和 AD 理论
DOI: --
发表时间: 2018
期刊:
影响因子: --
作者:
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