Trinions for the $3d$ compactification of the $5d$ rank 1 $E_{N_f+1}$ SCFTs

Sacchi, Matteo; Sela, Orr; Zafrir, Gabi

doi:10.48550/arxiv.2301.06561

Cited by 1 publication

(1 citation statement)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…One possible line of future research is to try to apply the same analysis also to other theories for which we can compute the superconformal index, possibly with less supersymmetry. The index indeed becomes particularly useful when studying mixed anomalies of more complicated quiver gauge theories, such as the 3d N = 2 theories arising from the compactifications of 5d SCFTs on Riemann surfaces with flux [115][116][117][118].…”

Section: Jhep01(2023)115mentioning

confidence: 99%

Mixed anomalies, two-groups, non-invertible symmetries, and 3d superconformal indices

Mekareeya

Sacchi

2023

J. High Energ. Phys.

View full text Add to dashboard Cite

Mixed anomalies, higher form symmetries, two-group symmetries and non-invertible symmetries have proved to be useful in providing non-trivial constraints on the dynamics of quantum field theories. We study mixed anomalies involving discrete zero-form global symmetries, and possibly a one-form symmetry, in 3d $$ \mathcal{N} $$ N ≥ 3 gauge theories using the superconformal index. The effectiveness of this method is demonstrated via several classes of theories, including Chern-Simons-matter theories, such as the U(1)k gauge theory with hypermultiplets of diverse charges, the T (SU(N)) theory of Gaiotto-Witten, the theories with 𝔰𝔬(2N)2k gauge algebra and hypermultiplets in the vector representation, and variants of the Aharony-Bergman-Jafferis (ABJ) theory with the orthosymplectic gauge algebra. Gauging appropriate global symmetries of some of these models, we obtain various interesting theories with non-invertible symmetries or two-group structures.

show abstract

Section: Jhep01(2023)115mentioning

confidence: 99%