The Master Space of Supersymmetric Gauge Theories

We give a short review on the study of the moduli space and the spectrum of chiral operators for gauge theories living on branes at singularities. We focus on theories with four real supercharges in 3+1 and 2+1 dimensions. The theories are holographically dual to AdS5×H5 or AdS4×H7 backgrounds, in T...

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Main Authors: Amihay Hanany, Alberto Zaffaroni
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2010/427891
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author Amihay Hanany
Alberto Zaffaroni
author_facet Amihay Hanany
Alberto Zaffaroni
author_sort Amihay Hanany
collection DOAJ
description We give a short review on the study of the moduli space and the spectrum of chiral operators for gauge theories living on branes at singularities. We focus on theories with four real supercharges in 3+1 and 2+1 dimensions. The theories are holographically dual to AdS5×H5 or AdS4×H7 backgrounds, in Type-IIB or -M theory, respectively. We demonstrate that most of the information on the moduli space and spectrum of the quiver gauge theories is encoded in the concept of the “Master Space”, which is roughly the full moduli space for one brane, consisting of mesonic and baryonic degrees of freedom. We summarize the relevant information in generating functions for chiral operators, which can be computed using plethystics techniques and the language of complex geometry.
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spelling doaj-art-f7d888f0ced943d899cea83b821ec3af2025-02-03T01:09:48ZengWileyAdvances in High Energy Physics1687-73571687-73652010-01-01201010.1155/2010/427891427891The Master Space of Supersymmetric Gauge TheoriesAmihay Hanany0Alberto Zaffaroni1Theoretical Physics Group, Blackett Laboratory, Imperial College, London SW7 2AZ, UKDipartimento di Fisica, Università di Milano-Bicocca, 20126 Milano, ItalyWe give a short review on the study of the moduli space and the spectrum of chiral operators for gauge theories living on branes at singularities. We focus on theories with four real supercharges in 3+1 and 2+1 dimensions. The theories are holographically dual to AdS5×H5 or AdS4×H7 backgrounds, in Type-IIB or -M theory, respectively. We demonstrate that most of the information on the moduli space and spectrum of the quiver gauge theories is encoded in the concept of the “Master Space”, which is roughly the full moduli space for one brane, consisting of mesonic and baryonic degrees of freedom. We summarize the relevant information in generating functions for chiral operators, which can be computed using plethystics techniques and the language of complex geometry.http://dx.doi.org/10.1155/2010/427891
spellingShingle Amihay Hanany
Alberto Zaffaroni
The Master Space of Supersymmetric Gauge Theories
Advances in High Energy Physics
title The Master Space of Supersymmetric Gauge Theories
title_full The Master Space of Supersymmetric Gauge Theories
title_fullStr The Master Space of Supersymmetric Gauge Theories
title_full_unstemmed The Master Space of Supersymmetric Gauge Theories
title_short The Master Space of Supersymmetric Gauge Theories
title_sort master space of supersymmetric gauge theories
url http://dx.doi.org/10.1155/2010/427891
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