Quiver polymerisation
Abstract Two new diagrammatic techniques on 3d N $$ \mathcal{N} $$ = 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...
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| Format: | Article |
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SpringerOpen
2024-11-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP11(2024)168 |
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| author | Amihay Hanany Rudolph Kalveks Guhesh Kumaran |
| author_facet | Amihay Hanany Rudolph Kalveks Guhesh Kumaran |
| author_sort | Amihay Hanany |
| collection | DOAJ |
| description | Abstract Two new diagrammatic techniques on 3d N $$ \mathcal{N} $$ = 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 $$ \mathcal{S} $$ . 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 ℂ 2 to A-type singularities. Also a polymerisation construction of the magnetic quiver for the 6d N $$ \mathcal{N} $$ = (1, 0) theory coming from two 1 2 $$ \frac{1}{2} $$ M5 branes probing an E 6 Klein singularity. We find a method of extending magnetic quivers for Class S $$ \mathcal{S} $$ 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. |
| format | Article |
| id | doaj-art-de03fbd30c994986a668c47b4b82916f |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-de03fbd30c994986a668c47b4b82916f2025-01-05T12:05:52ZengSpringerOpenJournal of High Energy Physics1029-84792024-11-0120241118210.1007/JHEP11(2024)168Quiver polymerisationAmihay Hanany0Rudolph Kalveks1Guhesh Kumaran2Theoretical Physics Group, The Blackett Laboratory, Imperial College LondonTheoretical Physics Group, The Blackett Laboratory, Imperial College LondonTheoretical Physics Group, The Blackett Laboratory, Imperial College LondonAbstract Two new diagrammatic techniques on 3d N $$ \mathcal{N} $$ = 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 $$ \mathcal{S} $$ . 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 ℂ 2 to A-type singularities. Also a polymerisation construction of the magnetic quiver for the 6d N $$ \mathcal{N} $$ = (1, 0) theory coming from two 1 2 $$ \frac{1}{2} $$ M5 branes probing an E 6 Klein singularity. We find a method of extending magnetic quivers for Class S $$ \mathcal{S} $$ 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.https://doi.org/10.1007/JHEP11(2024)168Supersymmetric Gauge TheoryExtended SupersymmetryGlobal SymmetriesBrane Dynamics in Gauge Theories |
| spellingShingle | Amihay Hanany Rudolph Kalveks Guhesh Kumaran Quiver polymerisation Journal of High Energy Physics Supersymmetric Gauge Theory Extended Supersymmetry Global Symmetries Brane Dynamics in Gauge Theories |
| title | Quiver polymerisation |
| title_full | Quiver polymerisation |
| title_fullStr | Quiver polymerisation |
| title_full_unstemmed | Quiver polymerisation |
| title_short | Quiver polymerisation |
| title_sort | quiver polymerisation |
| topic | Supersymmetric Gauge Theory Extended Supersymmetry Global Symmetries Brane Dynamics in Gauge Theories |
| url | https://doi.org/10.1007/JHEP11(2024)168 |
| work_keys_str_mv | AT amihayhanany quiverpolymerisation AT rudolphkalveks quiverpolymerisation AT guheshkumaran quiverpolymerisation |