On N $$ \mathcal{N} $$ = 4 supersymmetry enhancements in three dimensions

Autor: Benjamin Assel, Yuji Tachikawa, Alessandro Tomasiello
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2023, Iss 3, Pp 1-42 (2023)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP03(2023)170
Popis: Abstract We introduce a class of 3d theories consisting of strongly-coupled N $$ \mathcal{N} $$ = 4 systems coupled to N $$ \mathcal{N} $$ = 3 Chern-Simons gauge multiplets, which exhibit N $$ \mathcal{N} $$ = 4 enhancements when a peculiar condition on the Chern-Simons levels is met. An example is the SU(N)3 Chern-Simons theory coupled to the 3d T N theory, which enhances to N $$ \mathcal{N} $$ = 4 when 1/k 1 + 1/k 2 + 1/k 3 = 0. We also show that some but not all of these N $$ \mathcal{N} $$ = 4 enhancements can be understood by considering M5-branes on a special class of Seifert manifolds. Our construction provides a large class of N $$ \mathcal{N} $$ = 4 theories which have not been studied previously.
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