Branes and the Kraft-Procesi transition: classical case
File(s)10.1007%2FJHEP04(2018)127.pdf (1.17 MB)
Published version
Author(s)
Cabrera, Santiago
Hanany, Amihay
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.
Date Issued
2018-04-23
Date Acceptance
2018-04-08
Citation
JOURNAL OF HIGH ENERGY PHYSICS, 2018, 2018 (4)
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.
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.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000432041600009&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
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
Publication Status
Published
Article Number
ARTN 127
Date Publish Online
2018-04-23