Citation

BibTex format

@article{Hanany:2024:10.1007/JHEP11(2024)168,
author = {Hanany, A and Kalveks, R and Kumaran, G},
doi = {10.1007/JHEP11(2024)168},
journal = {Journal of High Energy Physics},
title = {Quiver polymerisation},
url = {http://dx.doi.org/10.1007/JHEP11(2024)168},
volume = {2024},
year = {2024}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Two new diagrammatic techniques on 3dN = 4 quiver gauge theories, termed chain and cyclic quiver polymerisation are introduced. These gauge a diagonal SU/U(k) subgroup of the Coulomb branch global symmetry of a quiver (or pair of quivers) with multiple legs. The action on the Coulomb branch is that of a SU/U(k) hyper-Kähler quotient. The polymerisation techniques build and generalise known composition methods from class S. Polymerisation is used to generate a wide range of magnetic quivers from various physical contexts. These include polymerisation constructions for Kronheimer-Nakajima quivers, which generalise the ADHM construction for the moduli space of k SU(N) instantons on 2 to A-type singularities. Also a polymerisation construction of the magnetic quiver for the 6dN = (1, 0) theory coming from two 12 M5 branes probing an E6 Klein singularity. We find a method of extending magnetic quivers for Class S theories to cure the incomplete Higgsing that arises when gluing punctures into the loops associated with higher genus theories. Other novel constructions include a unitary magnetic quiver for the closure of a height four nilpotent orbit of SO(7). We explore the relationships between the Coulomb and Higgs branches of quivers under polymerisation.
AU  - Hanany,A
AU  - Kalveks,R
AU  - Kumaran,G
DO  - 10.1007/JHEP11(2024)168
PY  - 2024///
TI  - Quiver polymerisation
T2  - Journal of High Energy Physics
UR  - http://dx.doi.org/10.1007/JHEP11(2024)168
VL  - 2024
ER  -
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