From 6D SCFTs to Dynamic GLSMs

From 6D SCFTs to Dynamic GLSMs
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从 6D SCFT 到动态 GLSM

DOI:
10.1103/physrevd.96.066015
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发表时间:
2016
期刊:
arXiv: High Energy Physics - Theory
影响因子:
--
通讯作者:
I. Melnikov
I. Melnikov
中科院分区:
--
文献类型:
--
作者:
Fabio Apruzzi;Falk Hassler;J. Heckman;I. Melnikov

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四维流形上的超共形场论的紧化产生了一大类新颖的二维量子场论。我们详细考虑的情况下,秩一简单的non-Higgsable集群6D SCFT。在这些理论的张量分支上,规范群是简单的,没有物质场。对于适当选择的Kähler曲面上的紧化,我们提出的证据表明,这提供了一种方法来实现二维SCFT与N =(0,2)超对称。特别是,我们发现,减少张量分支的6D SCFT产生的描述相同的2D不动点,在UV中所描述的规范线性西格玛模型(GLSM),其中的参数被提升到动态领域,即“动态GLSM”(DGLSM)。该模型的一致性要求将DGLSM耦合到从6D理论的反手征两种形式的减少获得的额外的非拉格朗日扇区。这些额外的扇区包括手征流和反手征流,以及6D理论中充满非临界弦的时空。对于每个候选的2d SCFT,我们还提取了左,右移动的中心电荷的6D SCFT和紧化流形的数据。October 2016电子邮件:fabio. unc.edu <$电子邮件:jheckman@email.unc.edu电子邮件: fhassler@unc.edu §电子邮件:melnikix@jmu.edu ar X iv:1 61 0. 00 71 8v 2 [ he pth ] 8 S ep 2 01 7
Compactifications of 6D superconformal field theories (SCFTs) on four-manifolds generate a large class of novel 2d quantum field theories. We consider in detail the case of the rank one simple non-Higgsable cluster 6D SCFTs. On the tensor branch of these theories, the gauge group is simple and there are no matter fields. For compactifications on suitably chosen Kähler surfaces, we present evidence that this provides a method to realize 2d SCFTs with N = (0, 2) supersymmetry. In particular, we find that reduction on the tensor branch of the 6D SCFT yields a description of the same 2d fixed point that is described in the UV by a gauged linear sigma model (GLSM) in which the parameters are promoted to dynamical fields, that is, a “dynamic GLSM” (DGLSM). Consistency of the model requires the DGLSM to be coupled to additional non-Lagrangian sectors obtained from reduction of the anti-chiral two-form of the 6D theory. These extra sectors include both chiral and anti-chiral currents, as well as spacetime filling non-critical strings of the 6D theory. For each candidate 2d SCFT, we also extract the leftand right-moving central charges in terms of data of the 6D SCFT and the compactification manifold. October 2016 ∗e-mail: fabio.apruzzi@unc.edu †e-mail: fhassler@unc.edu ‡e-mail: jheckman@email.unc.edu §e-mail: melnikix@jmu.edu ar X iv :1 61 0. 00 71 8v 2 [ he pth ] 8 S ep 2 01 7
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