四维简单超共形场论的概况

Landscape of Simple Superconformal Field Theories in 4D.

作者信息

Maruyoshi Kazunobu, Nardoni Emily, Song Jaewon

机构信息

Faculty of Science and Technology, Seikei University, 3-3-1 Kichijoji-Kitamachi, Musashino-shi, Tokyo 180-8633, Japan.

Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, University of California, Los Angeles, California 90095, USA.

出版信息

Phys Rev Lett. 2019 Mar 29;122(12):121601. doi: 10.1103/PhysRevLett.122.121601.

DOI:10.1103/PhysRevLett.122.121601

PMID:30978041

Abstract

We explore the space of renormalization group flows that originate from supersymmetric N=1 SU(2) gauge theory with one adjoint and a pair of fundamental chiral multiplets. By considering all possible relevant deformations-including coupling to gauge-singlet chiral multiplets-we find 34 fixed points in this simple setup. We observe that theories in this class exhibit many novel phenomena: emergent symmetry, decoupling of operators, and narrow distribution of central charges a/c. This set of theories includes two of the N=2 minimal Argyres-Douglas theories and their mass deformed versions. In addition, we find 36 candidate fixed point theories possessing unphysical fermionic operators-including one with central charges (a,c)≃(0.20,0.22) that are smaller than any known superconformal theory-that need further investigation.

摘要

我们探索了重整化群流的空间，其源自具有一个伴随场和一对基本手征多重态的超对称N = 1 SU(2)规范理论。通过考虑所有可能的相关形变——包括与规范单态手征多重态的耦合——我们在这个简单的设定中找到了34个不动点。我们观察到这类理论展现出许多新奇的现象：涌现对称性、算符解耦以及中心荷a/c的窄分布。这组理论包括两个N = 2最小阿吉雷斯 - 道格拉斯理论及其质量形变版本。此外，我们发现了36个具有非物理费米子算符的候选不动点理论——其中一个的中心荷(a,c)≃(0.20,0.22)，比任何已知的超共形理论都小——这需要进一步研究。