Notes on index of quantum integrability

• 作者: Jia Tian Jue Hou Bin Chen
• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2021,（5）
• 所属期刊栏目: PAPERS
• 页码范围: 1-9
• 页数: 9页
• 语种: 英文

摘要

A quantum integrability index was proposed in Komatsu et al (2019 SciPost Phys.7 065).It systematizes the Goldschmidt and Witten's operator counting argument (Goldschmidt and Witten 1980 Phys.Lett.B 91 392) by using the conformal symmetry.In this work we compute the quantum integrability indexes for the symmetric coset models SU(N)/SO(N) and SO(2N)/SO(N) × SO(N).The indexes of these theories are all non-positive except for the case of SO(4)/SO(2) × SO(2).Moreover we extend the analysis to the theories with fermions and consider a concrete theory: the CPN model coupled with a massless Dirac fermion.We find that the indexes for this class of models are non-positive as well.