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arXiv 1601.04078hep-th
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6D RG流与幂零族

6D RG Flows and Nilpotent Hierarchies

Jonathan J. Heckman, Tom Rudelius, Alessandro Tomasiello

备注：
v2: 53 pages, 12 figures, clarifications added, typos corrected
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摘要：

最终的目标是分类的重整化群流之间的6D超共形场论（SCFT），我们研究的“共形物质”，传统的超多重流，自然出现在F-理论分类的6D SCFT的推广的vevs产生的流。我们考虑这样的流，其中父UV理论是（在其部分张量分支上）由共形物质连接的规范群的线性链，在链的每一端有一个味群G，并且其中在每一端的共形物质的对称破缺由这些味对称之一的幂零元的轨道（即T-膜数据）参数化。这样的幂零轨道允许偏序，这反映在IR不动点的层次结构中。对于每个这样的幂零轨道，我们确定相应的张量分支的SCFT。这种代数方法的一个重要特点是，它还允许我们系统地计算从父UV理论继承的不间断的味道对称性。

英文摘要：

With the eventual aim of classifying renormalization group flows between 6D superconformal field theories (SCFTs), we study flows generated by the vevs of "conformal matter," a generalization of conventional hypermultiplets which naturally appear in the F-theory classification of 6D SCFTs. We consider flows in which the parent UV theory is (on its partial tensor branch) a linear chain of gauge groups connected by conformal matter, with one flavor group G at each end of the chain, and in which the symmetry breaking of the conformal matter at each end is parameterized by the orbit of a nilpotent element, i.e. T-brane data, of one of these flavor symmetries. Such nilpotent orbits admit a partial ordering, which is reflected in a hierarchy of IR fixed points. For each such nilpotent orbit, we determine the corresponding tensor branch for the resulting SCFT. An important feature of this algebraic approach is that it also allows us to systematically compute the unbroken flavor symmetries inherited from the parent UV theory.

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