Altmetric

Branes and the Kraft-Procesi transition

File Description SizeFormat 
10.1007%2FJHEP11(2016)175.pdfPublished version762.66 kBAdobe PDFView/Open
Title: Branes and the Kraft-Procesi transition
Authors: Cabrera, S
Hanany, A
Item Type: Journal Article
Abstract: 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.
Issue Date: 29-Nov-2016
Date of Acceptance: 17-Nov-2016
URI: http://hdl.handle.net/10044/1/51170
DOI: https://dx.doi.org/10.1007/JHEP11(2016)175
ISSN: 1029-8479
Publisher: SPRINGER
Journal / Book Title: JOURNAL OF HIGH ENERGY PHYSICS
Volume: 2016
Issue: 11
Copyright Statement: © The Author(s) 2016
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Science and Technology Facilities Council (STFC)
Funder's Grant Number: EP/K034456/1
ST/L00044X/1
Keywords: Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
Brane Dynamics in Gauge Theories
Field Theories in Lower Dimensions
Global Symmetries
Supersymmetric gauge theory
CONJUGACY CLASSES
MONOPOLE
GEOMETRY
DYNAMICS
DUALITY
hep-th
01 Mathematical Sciences
02 Physical Sciences
Nuclear & Particles Physics
Publication Status: Published
Article Number: 175
Appears in Collections:Physics
Theoretical Physics
Faculty of Natural Sciences



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Creative Commonsx