Notes on index of quantum integrability

被引：0
作者：
Tian, Jia [1 ,2 ,3 ]
Hou, Jue [1 ,2 ]
Chen, Bin [1 ,2 ,3 ,4 ]
机构：
[1] Peking Univ, Sch Phys, 5 Yiheyuan Rd, Beijing 100871, Peoples R China
[2] Peking Univ, State Key Lab Nucl Phys & Technol, 5 Yiheyuan Rd, Beijing 100871, Peoples R China
[3] Peking Univ, Ctr High Energy Phys, 5 Yiheyuan Rd, Beijing 100871, Peoples R China
[4] Collaborat Innovat Ctr Quantum Matter, 5 Yiheyuan Rd, Beijing 100871, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2021年 / 73卷 / 05期
关键词：
integrability; quantum index; coset models;
D O I：
10.1088/1572-9494/abe9aa
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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) x SO(N). The indexes of these theories are all non-positive except for the case of SO(4) SO(2) x 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.
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页数：9
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