Looking for the G2 Higgs branch of 4D rank 1 SCFTs

被引：2

作者：

Abhishek, Md. ^{[1
,3
]}

Grover, Sachin ^{[2
,3
]}

Jatkar, Dileep P. ^{[2
,3
]}

Singh, Kajal ^{[4
]}

机构：

[1] Inst Math Sci, IV Cross Rd,CIT Campus,Taramani, Chennai 600113, India

[2] Harish Chandra Res Inst, Chhatnag Rd,Jhunsi, Allahabad 211019, India

[3] Homi Bhabha Natl Inst, Training Sch Complex,Anushakti Nagar, Mumbai 400085, India

[4] Univ Liverpool, Dept Math Sci, Liverpool L69 7ZL, England

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2024年 / 08期

关键词：

Conformal and W Symmetry; Conformal Field Models in String Theory; Scale and Conformal Symmetries; Extended Supersymmetry; CONFORMAL FIELD-THEORIES; EXCEPTIONAL SERIES; VERLINDE FORMULAS; MODULAR DATA; F-THEORY; CLASSIFICATION; SEXTONIONS; ALGEBRAS;

D O I：

10.1007/JHEP08(2024)026

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：

The Schur index of the Higgs branch of 4-dimensional N = 2 SCFTs is related to the spectrum of non-unitary 2-dimensional CFTs. The rank 1 case has been shown to lead to the non-unitary CFTs with Deligne-Cvitanovic (DC) exceptional sequence of Lie groups. We show that a subsequence (A(0), A(1/2), A(1), A(2), D-4) within the non-unitary sequence is related to a subsequence in the Mathur-Mukhi-Sen (MMS) sequence of unitary theories. We show that 2D non-unitary G(2) theory is related to unitary E-6 theory, and using this result along with the Galois conjugation, we propose that the G(2) Higgs branch is a sub-branch of the E-6 Higgs branch.

引用

页数：36

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