Abstract

We study the Higgs branch of 5d superconformal theories engineered from brane webs with orientifold five-planes. We propose a generalization of the rules to derive magnetic quivers from brane webs pioneered in [1], by analyzing theories that can be described with a brane web with and without O5 planes. Our proposed magnetic quivers include novel features, such as hypermultiplets transforming in the fundamental-fundamental representation of two gauge nodes, antisymmetric matter, and ℤ2 gauge nodes. We test our results by computing the Coulomb and Higgs branch Hilbert series of the magnetic quivers obtained from the two distinct constructions and find agreement in all cases.

Highlights

  • We study the Higgs branch of 5d superconformal theories engineered from brane webs with orientifold five-planes

  • We propose a generalization of the rules to derive magnetic quivers from brane webs pioneered in [1], by analyzing theories that can be described with a brane web with and without O5 planes

  • We studied infinite coupling Higgs branches of 5d superconformal theories based on 5-brane webs, by constructing 3d magnetic quivers whose Coulomb branch yields the Higgs branch of the 5d system

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Summary

The KN family

Decoupling flavors from, say, the rightmost gauge node in the #3,N theory (2.1), we obtain a family of theories which we denote by KNp , where p denotes the number of decoupled. In [1], it has been argued that a subweb associated with a U(1) gauge node in a magnetic quiver which passes through the O5−-plane may have charge 2 hypermultiplets coupled to the U(1) Such a subweb appears in the KNp (p = 1, 2, 3) family at the center of the junction in the orientifold diagrams, and it is depicted as the subweb in black in each maximal subdivision in figures 4, 6, 8. The subweb configuration of the maximal subdivision in figure 4 has already appeared in [1], for example, for the magnetic quiver of the rank-1 E6 theory In this case, the number of the charge 2 hypermultiplets attached to the U(1) node is zero.

The YN family
The HN family
The K N1 theory
O5 - O5
Conclusion
Coulomb branch Hilbert series
Higgs branch Hilbert series
B Palindromic polynomials
C More on the number of charge 2 hypermultiplets
D The remaining theories in the YN family
43 Magnetic quivers for the κ1N theory
Full Text
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