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@article{Cabrera:2016:10.1007/JHEP11(2016)175,
author = {Cabrera, S and Hanany, A},
doi = {10.1007/JHEP11(2016)175},
journal = {The Journal of High Energy Physics},
title = {Branes and the Kraft-Procesi transition},
url = {http://dx.doi.org/10.1007/JHEP11(2016)175},
volume = {2016},
year = {2016}
}

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TY  - JOUR
AB  - The Coulomb and Higgs branches of certain 3dN=4N=4 gauge theories can be understood as closures of nilpotent orbits. Recently, a new theorem by Namikawa suggests that this is the simplest possible case, thus giving this class a special role. In this note we use branes to reproduce the mathematical work by Kraft and Procesi. It studies the classification of all nilpotent orbits for classical groups and it characterizes an inclusion relation via minimal singularities. We show how these minimal singularities arise naturally in the Type IIB superstring embedding of the 3d A-type theories. The Higgs mechanism can be used to remove the minimal singularity, corresponding to a transition in the brane configuration that induces a new effective 3d theory. This reproduces the Kraft-Procesi results, endowing the family of gauge theories with a new underlying structure. We provide an efficient procedure for computing such brane transitions.
AU  - Cabrera,S
AU  - Hanany,A
DO  - 10.1007/JHEP11(2016)175
PY  - 2016///
SN  - 1029-8479
TI  - Branes and the Kraft-Procesi transition
T2  - The Journal of High Energy Physics
UR  - http://dx.doi.org/10.1007/JHEP11(2016)175
UR  - http://hdl.handle.net/10044/1/51170
VL  - 2016
ER  -

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Amihay Hanany

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