The Cat’s Cradle: deforming the higher rank E 1 and E ˜ 1 $$ {\tilde{E}}_1 $$ theories

Autor: Oren Bergman, Diego Rodríguez-Gómez
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2021, Iss 2, Pp 1-26 (2021)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP02(2021)122
Popis: Abstract We use 5-brane webs to study the two-dimensional space of supersymmetric mass deformations of higher rank generalizations of the 5d E 1 and E ˜ 1 $$ {\tilde{E}}_1 $$ theories. Some of the resulting IR phases are described by IR free supersymmetric gauge theories, while others correspond to interacting fixed points. The number of different phases appears to grow with the rank. The space of deformations is qualitatively different for the even and odd rank cases, but that of the even (odd) rank E 1 theory is similar to that of the odd (even) rank E ˜ 1 $$ {\tilde{E}}_1 $$ theory. One result of our analysis predicts that the supersymmetric SU(N) theory with CS level k = N 2 $$ \frac{N}{2} $$ + 4 and a single massless antisymmetric hypermultiplet exhibits an enhanced global symmetry at the UV fixed point, given by SU(2) × SU(2) if N is even, and SU(2) × U(1) if N is odd.
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