Coulomb Branch of a Multiloop Quiver Gauge Theory

Goncharov, Evgeny; Finkelberg, Michael

doi:10.1134/s0016266319040014

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Higgs Branch Of Wreathed Quivers1

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2020

2024

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Cited by 3 publications

(1 citation statement)

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“…See section 7.2 of [33] and equation (7.12) for the hypersurface equation. The same family also appears as a Coulomb branch of the mirror quiver in the work of [34] where the identification as a transverse slice is made, as well as an explicit form of the hypersurface equation. The Hasse diagram is In summary, the two quivers on the right of Figure 13 share the same Coulomb branch, but only the wreathed quiver's Higgs branch shares the original quiver's Higgs branch dimension, as one would expect from discrete gauging.…”

Section: Higgs Branch Of Wreathed Quiversmentioning

confidence: 99%

Quiver origami: discrete gauging and folding

Bourget,

Hanany,

Miketa

2020

Preprint

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Section: Higgs Branch Of Wreathed Quiversmentioning

confidence: 99%

Quiver origami: discrete gauging and folding

Bourget,

Hanany,

Miketa

2020

Preprint

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Quiver origami: discrete gauging and folding

Bourget

Hanany

Miketa

2021

J. High Energ. Phys.

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We study two types of discrete operations on Coulomb branches of 3d$$ \mathcal{N} $$ N = 4 quiver gauge theories using both abelianisation and the monopole formula. We generalise previous work on discrete quotients of Coulomb branches and introduce novel wreathed quiver theories. We further study quiver folding which produces Coulomb branches of non-simply laced quivers. Our methods explicitly describe Coulomb branches in terms of generators and relations including mass deformations.

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Actions on the quiver: discrete quotients on the Coulomb branch

Hanany,

Kumaran,

et al. 2024

J. High Energ. Phys.

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This paper introduces two operations in quiver gauge theories. The first operation, collapse, takes a quiver with a permutation symmetry Sn and gives a quiver with adjoint loops. The corresponding 3d $$ \mathcal{N} $$ N = 4 Coulomb branches are related by an orbifold of Sn. The second operation, multi-lacing, takes a quiver with n nodes connected by edges of multiplicity k and replaces them by n nodes of multiplicity qk. The corresponding Coulomb branch moduli spaces are related by an orbifold of type $$ {\mathbb{Z}}_q^{n-1} $$ ℤ q n − 1 . Collapse generalises known cases that appeared in the literature [1–3]. These two operations can be combined to generate new relations between moduli spaces that are constructed using the magnetic construction.

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Coulomb Branch of a Multiloop Quiver Gauge Theory

Cited by 3 publications

References 6 publications

Quiver origami: discrete gauging and folding

Quiver origami: discrete gauging and folding

Quiver origami: discrete gauging and folding

Actions on the quiver: discrete quotients on the Coulomb branch

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