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Branes and the Kraft-Procesi transition: classical case

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Title: Branes and the Kraft-Procesi transition: classical case
Authors: Cabrera, S
Hanany, A
Item Type: Journal Article
Abstract: Moduli spaces of a large set of 3d N=4 effective gauge theories are known to be closures of nilpotent orbits. This set of theories has recently acquired a special status, due to Namikawa’s theorem. As a consequence of this theorem, closures of nilpotent orbits are the simplest non-trivial moduli spaces that can be found in three dimensional theories with eight supercharges. In the early 80’s mathematicians Hanspeter Kraft and Claudio Procesi characterized an inclusion relation between nilpotent orbit closures of the same classical Lie algebra. We recently [1] showed a physical realization of their work in terms of the motion of D3-branes on the Type IIB superstring embedding of the effective gauge theories. This analysis is restricted to A-type Lie algebras. The present note expands our previous discussion to the remaining classical cases: orthogonal and symplectic algebras. In order to do so we introduce O3-planes in the superstring description. We also find a brane realization for the mathematical map between two partitions of the same integer number known as collapse. Another result is that basic Kraft-Procesi transitions turn out to be described by the moduli space of orthosymplectic quivers with varying boundary conditions.
Issue Date: 23-Apr-2018
Date of Acceptance: 8-Apr-2018
URI: http://hdl.handle.net/10044/1/60331
DOI: https://dx.doi.org/10.1007/JHEP04(2018)127
ISSN: 1029-8479
Publisher: SPRINGER
Journal / Book Title: JOURNAL OF HIGH ENERGY PHYSICS
Volume: 2018
Issue: 4
Copyright Statement: © 2018 The Author(s). Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0 https://creativecommons.org/licenses/by/4.0/), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Keywords: Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
Brane Dynamics in Gauge Theories
Global Symmetries
Field Theories in Lower Dimensions
Supersymmetric Gauge Theory
GAUGE-THEORIES
CONJUGACY CLASSES
INSTANTONS
REPRESENTATIONS
GEOMETRY
DYNAMICS
DUALITY
hep-th
01 Mathematical Sciences
02 Physical Sciences
Nuclear & Particles Physics
Publication Status: Published
Article Number: ARTN 127
Online Publication Date: 2018-04-23
Appears in Collections:Physics
Theoretical Physics
Faculty of Natural Sciences



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