Logarithmic W-algebras and Argyres-Douglas theories at higher rank

被引:30
作者
Creutzig, Thomas [1 ,2 ]
机构
[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
[2] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2018年 / 11期
基金
加拿大自然科学与工程研究理事会;
关键词
Conformal and W Symmetry; Conformal Field Theory; Supersymmetric Gauge Theory; SUPERCONFORMAL FIELD-THEORIES; FALSE THETA-FUNCTIONS; VERLINDE FORMULAS; MODULAR DATA;
D O I
10.1007/JHEP11(2018)188
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
Families of vertex algebras associated to nilpotent elements of simply-laced Lie algebras are constructed. These algebras are close cousins of logarithmic W-algebras of Feigin and Tipunin and they are also obtained as modifications of semiclassical limits of vertex algebras appearing in the context of S-duality for four-dimensional gauge theories. In the case of type A and principal nilpotent element the character agrees precisely with the Schur-Index formula for corresponding Argyres-Douglas theories with irregular singularities. For other nilpotent elements they are identified with Schur-indices of type IV Argyres-Douglas theories. Further, there is a conformal embedding pattern of these vertex operator algebras that nicely matches the RG-flow of Argyres-Douglas theories as discussed by Buican and Nishinaka.
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页数:18
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