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arXiv 1303.3149hep-th
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再论N=2的$D_p(G)$型超共形系

More on the N=2 superconformal systems of type $D_p(G)$

Sergio Cecotti, Michele Del Zotto, Simone Giacomelli

备注：
73 pages, 8 figures, 4 tables; argument clarified and one example added; additional references
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摘要：

在arXiv：1210.2886中引入了一个4d N=2 SCFT的大家族。它的元素$D_p(G)$用一个正整数p \in N和一个单缀李群G标记;它们的味对称至少是G。在本文中，我们详细研究了它们的物理。我们还分析了通过测量一系列$D_{p_i}(G)$模型的对角对称性所获得的理论的性质。在所有情况下，物理量的计算都简化为简单的李理论问题。为了使分析更加函式化，我们将N=2 QFT的BPS-矩阵的概念替换为更内在的META-矩阵的概念。特别是：1）我们计算所有$D_p(G)$模型的SCFT中心荷a，c，k和风味群F。2)我们确定了对应于先前已知的SCFT的$D_p(G)$理论的子类（线性SU和SO-USp理论，Argyres-Douglas模型，Minahan-Nemeshanski E_r模型的超共形规范等），以及已知理论的非平凡IR不动点。具有$p\geq 3$的$D_p(E_r)$ SCFT不能通过任何传统方法构造。3)我们调查有限的BPS室的一些模型。4)作为副产品，我们证明了谢和赵的三个命题，并提供了新的检查Argyres-Seiberg对偶。

英文摘要：

A large family of 4d N=2 SCFT's was introduced in arXiv:1210.2886. Its elements $D_p(G)$ are labelled by a positive integer p\in N and a simply-laced Lie group G; their flavor symmetry is at least G. In the present paper we study their physics in detail. We also analyze the properties of the theories obtained by gauging the diagonal symmetry of a collection of $D_{p_i}(G)$ models. In all cases the computation of the physical quantities reduces to simple Lie-theoretical questions. To make the analysis more functorial, we replace the notion of the BPS-quiver of the N=2 QFT by the more intrinsic concept of its META-quiver. In particular: 1) We compute the SCFT central charges a, c, k, and flavor group F for all $D_p(G)$ models. 2) We identify the subclass of $D_p(G)$ theories which correspond to previously known SCFT's (linear SU and SO-USp quiver theories, Argyres-Douglas models, superconformal gaugings of Minahan-Nemeshanski E_r models, etc.), as well as to non-trivial IR fixed points of known theories. The $D_p(E_r)$ SCFT's with $p\geq 3$ cannot be constructed by any traditional method. 3) We investigate the finite BPS chambers of some of the models. 4) As a by product, we prove three conjectures by Xie and Zhao, and provide new checks of the Argyres-Seiberg duality.

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