期刊
COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 400, 期 1, 页码 519-540出版社
SPRINGER
DOI: 10.1007/s00220-022-04605-5
关键词
-
In this paper, the authors introduce the characteristic dimension of a four-dimensional N=2 superconformal field theory, which is a simple invariant determined by the scaling dimensions of its Coulomb branch operators. They prove that only nine values of the characteristic dimension are allowed, giving a new organizing principle to the vast landscape of 4d N=2 SCFTs. They also discuss the compatibility of special Kähler geometries with different sets of Coulomb branch dimensions and predict the existence of new N=3 theories with non-trivial one-form symmetries.
In this paper we introduce the characteristic dimension of a four dimensional N=2 superconformal field theory, which is an extraordinary simple invariant determined by the scaling dimensions of its Coulomb branch operators. We prove that only nine values of the characteristic dimension are allowed, -infinity-infinity, 1 ,6/5, 4/3, 3/2, 2, 3, 4, and 6, thus giving a new organizing principle to the vast landscape of 4d N=2 SCFTs. Whenever the characteristic dimension differs from 1 or 2, only very constrained special K & auml;hler geometries (i.e. isotrivial, diagonal and rigid) are compatible with the corresponding set of Coulomb branch dimensions and extremely special, maximally strongly coupled, BPS spectra are allowed for the theories which realize them. Our discussion applies to superconformal field theories of arbitrary rank, i.e. with Coulomb branches of any complex dimension. Along the way, we predict the existence of new N=3 theories of rank two with non-trivial one-form symmetries
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据