000030004 001__ 30004
000030004 005__ 20190125130017.0
000030004 022__ $$a0550-3213
000030004 0247_ $$2DOI$$a10.1016/j.nuclphysb.2018.12.022$$t2018-12-22T15:58:31Z
000030004 100__ $$aCabrera, Santiago$$jORCID:0000-0002-9693-9869$$msantiago.cabrera13@imperial.ac.uk$$vTheoretical Physics Group, The Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2AZ, United Kingdom$$wUK
000030004 245__ $$aQuiver theories and formulae for Slodowy slices of classical algebras
000030004 260__ $$bElsevier$$c2019-02$$tpublished
000030004 520__ $$9Elsevier$$aWe utilise SUSY quiver gauge theories to compute properties of Slodowy slices; these are spaces transverse to the nilpotent orbits of a Lie algebra g . We analyse classes of quiver theories, with Classical gauge and flavour groups, whose Higgs branch Hilbert series are the intersections between Slodowy slices and the nilpotent cone S∩N of g . We calculate refined Hilbert series for Classical algebras up to rank 4 (and A5 ), and find descriptions of their representation matrix generators as algebraic varieties encoding the relations of the chiral ring. We also analyse a class of dual quiver theories, whose Coulomb branches are intersections S∩N ; such dual quiver theories exist for the Slodowy slices of A algebras, but are limited to a subset of the Slodowy slices of BCD algebras. The analysis opens new questions about the extent of 3 d mirror symmetry within the class of SCFTs known as Tσρ(G) theories. We also give simple group theoretic formulae for the Hilbert series of Slodowy slices; these draw directly on the SU(2) embedding into G of the associated nilpotent orbit, and the Hilbert series of the nilpotent cone.
000030004 540__ $$aCC-BY-3.0$$uhttp://creativecommons.org/licenses/by/3.0/
000030004 542__ $$fThe Authors
000030004 592__ $$a2018-12-21
000030004 700__ $$aHanany, Amihay$$ma.hanany@imperial.ac.uk$$vTheoretical Physics Group, The Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2AZ, United Kingdom$$wUK
000030004 700__ $$aKalveks, Rudolph$$jORCID:0000-0002-3819-1776$$mrudolph.kalveks09@imperial.ac.uk$$vTheoretical Physics Group, The Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2AZ, United Kingdom$$wUK
000030004 773__ $$c308-357$$pNuclear Physics B$$v939$$y2019
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