Looking for the G 2 Higgs branch of 4D rank 1 SCFTs

Autor: Md. Abhishek, Sachin Grover, Dileep P. Jatkar, Kajal Singh
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2024, Iss 8, Pp 1-36 (2024)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP08(2024)026
Popis: Abstract The Schur index of the Higgs branch of 4-dimensional N $$ \mathcal{N} $$ = 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 $$ {A}_{\frac{1}{2}} $$ , 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.
Databáze: Directory of Open Access Journals