30004
20190125130017.0
0550-3213
10.1016/j.nuclphysb.2018.12.022
DOI
2018-12-22T15:58:31Z
Cabrera, Santiago
ORCID:0000-0002-9693-9869
Theoretical Physics Group, The Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2AZ, United Kingdom
santiago.cabrera13@imperial.ac.uk
UK
Quiver theories and formulae for Slodowy slices of classical algebras
2019-02
published
Elsevier
We 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.
Elsevier
CC-BY-3.0
http://creativecommons.org/licenses/by/3.0/
The Authors
2018-12-21
Hanany, Amihay
Theoretical Physics Group, The Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2AZ, United Kingdom
a.hanany@imperial.ac.uk
UK
Kalveks, Rudolph
ORCID:0000-0002-3819-1776
Theoretical Physics Group, The Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2AZ, United Kingdom
rudolph.kalveks09@imperial.ac.uk
UK
Nuclear Physics B
939
308-357
2019
3734079
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