Hilbert series for theories with Aharony duals
File(s)
Published version
Author(s)
Hanany, A
Hwang, C
Kim, H
Park, J
Seong, R-K
Type
Journal Article
Abstract
The algebraic structure of moduli spaces of 3d N=2N=2 supersymmetric gauge theories is studied by computing the Hilbert series which is a generating function that counts gauge invariant operators in the chiral ring. These U(Nc) theories with Nf flavors have Aharony duals and their moduli spaces receive contributions from both mesonic and monopole operators. In order to compute the Hilbert series, recently developed techniques for Coulomb branch Hilbert series in 3d N=4N=4 are extended to 3d N=2N=2 . The Hilbert series computation leads to a general expression of the algebraic variety which represents the moduli space of the U(Nc) theory with Nf flavors and its Aharony dual theory. A detailed analysis of the moduli space is given, including an analysis of the various components of the moduli space.
Date Issued
2015-11-20
Date Acceptance
2015-11-06
Citation
Journal of High Energy Physics, 2015, 2015
ISSN
1126-6708
Publisher
Springer Verlag
Journal / Book Title
Journal of High Energy Physics
Volume
2015
Copyright Statement
© The Author(s) 2015. JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0.
License URL
Sponsor
Science and Technology Facilities Council (STFC)
Engineering & Physical Science Research Council (EPSRC)
The Royal Society
Science and Technology Facilities Council (STFC)
The Leverhulme Trust
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Science and Technology Facilities Council (STFC)
Grant Number
ST/G000743/1
EP/I001727/1
WRMA09R3/HLL
ST/J000353/1
VP1-2010-008
EP/K503381/1
EP/K034456/1
ST/L00044X/1
Subjects
Science & Technology
Physical Sciences
Physics, Particles & Fields
Physics
Supersymmetric gauge theory
D-branes
Differential and Algebraic Geometry
Superstring Vacua
SUPERSYMMETRIC GAUGE-THEORIES
COUNTING BPS OPERATORS
3 DIMENSIONS
CHIRAL RING
Nuclear & Particles Physics
01 Mathematical Sciences
02 Physical Sciences
Publication Status
Published
Article Number
132