Fermionic and parafermionic CFTs with su(2) and su(3) symmetry

被引：0
|
作者：
Kawabata, Kohki [1 ]
机构：
[1] Univ Tokyo, Fac Sci, Dept Phys, Bunkyo Ku, Tokyo 1130033, Japan
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2025年 / 02期
关键词：
Discrete Symmetries; Global Symmetries; Field Theories in Lower Dimensions; Conformal and W Symmetry; INVARIANT PARTITION-FUNCTIONS; FIELD-THEORY; CLASSIFICATION; STRINGS; MODELS;
D O I：
10.1007/JHEP02(2025)070
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
We investigate two-dimensional conformal field theories (CFTs) with affine su(2) and su(3) algebra symmetry. Their bosonic modular-invariant partition functions have been fully classified based on the ADE classification. In this work, we extend the classification to include fermionic and parafermionic CFTs with the same affine symmetries, utilizing techniques of fermionization and parafermionization. We find that the fermionic and parafermionic su(2) models are related to non-simply laced Dynkin diagrams.
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页数：28
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