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Resolutions of nilpotent orbit closures via Coulomb branches of 3-dimensional N = 4 $$\mathcal{N}=4$$ | theories

The Coulomb branches of certain 3-dimensional N=4$$\mathcal{N}=4$$ quiver gauge theories are closures of nilpotent orbits of classical or exceptional Lie algebras. The monopole formula, as Hilbert series of the associated Coulomb branch chiral ring, has been successful in describing the singular h... Full description

 Main Author: Hanany, Amihay Contributors: Sperling, Marcus Contained in: Journal of High Energy Physics Berlin : Springer Vol. 2018, No. 8 (2018), p. 1-36 Journal Title: Fulltext access: Fulltext access (direct link - free access) 10.1007/JHEP08(2018)189 Availability is being checked... Links: Volltext (dx.doi.org) ISSN: 1029-8479 Keywords: Differential and Algebraic Geometry Field Theories in Lower Dimensions Global Symmetries OriginalPaper Supersymmetric Gauge Theory DOI: 10.1007/JHEP08(2018)189
 Language: English Notes: Open Access A r X iv e P rint:1806.01890 Physical Description: Online-Ressource ID (e.g. DOI, URN): 10.1007/JHEP08(2018)189 JHEP08(2018)189 PPN (Catalogue-ID): SPR062760246
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 LEADER 001 02475nma a2200445 c 4500 SPR062760246 DE-601 20180830205050.0 cr uuu---uuuuu 180830s2018 000 0 eng d 7 |a 10.1007/JHEP08(2018)189  |2 doi 8 |a JHEP08(2018)189 |a JHEP08(2018)189 |b ger  |c GBVCP 0 |a eng 1 |a Hanany, Amihay 1 0 |a Resolutions of nilpotent orbit closures via Coulomb branches of 3-dimensional N = 4 $$\mathcal{N}=4$$ | theories  |h Elektronische Ressource |a Online-Ressource |a Open Access |a A r X iv e P rint:1806.01890 |a The Coulomb branches of certain 3-dimensional N=4$$\mathcal{N}=4$$ quiver gauge theories are closures of nilpotent orbits of classical or exceptional Lie algebras. The monopole formula, as Hilbert series of the associated Coulomb branch chiral ring, has been successful in describing the singular hyper-Kähler structure. By means of the monopole formula with background charges for flavour symmetries, which realises real mass deformations, we study the resolution properties of all (characteristic) height two nilpotent orbits. As a result, the monopole formula correctly reproduces (i) the existence of a symplectic resolution, (ii) the form of the symplectic resolution, and (iii) the Mukai flops in the case of multiple resolutions. Moreover, the (characteristic) height two nilpotent orbit closures are resolved by cotangent bundles of Hermitian symmetric spaces and the unitary Coulomb branch quiver realisations exhaust all the possibilities. 2 7 |a OriginalPaper  |2 gnd 7 |a Global Symmetries  |2 gnd 7 |a Supersymmetric Gauge Theory  |2 gnd 7 |a Differential and Algebraic Geometry  |2 gnd 7 |a Field Theories in Lower Dimensions  |2 gnd 0 0 |A f  |a OriginalPaper 0 |5 DE-601 1 0 |A s  |a Global Symmetries 1 1 |A s  |a Supersymmetric Gauge Theory 1 2 |A s  |a Differential and Algebraic Geometry 1 3 |A s  |a Field Theories in Lower Dimensions 1 |5 DE-601 1 |a Sperling, Marcus 0 8 |i in  |t Journal of High Energy Physics  |d Berlin : Springer  |g Vol. 2018, No. 8 (2018), p. 1-36  |q 2018:8<1-36  |w (DE-601)SPR047830530  |x 1029-8479 4 1 |u http://dx.doi.org/10.1007/JHEP08(2018)189  |z OA  |3 Volltext |a GBV_SPRINGER |a OPENACCESS |a AR |d 2018  |j 2018  |e 8  |c 08  |h 1-36