Mastering the master space

DOI10.1007/s11005-008-0255-6zbMath1162.81410arXiv0801.1585OpenAlexW3105044433WikidataQ64038319 ScholiaQ64038319MaRDI QIDQ1013607

Amihay Hanany, Yang-Hui He, Alberto Zaffaroni, Davide Forcella

Publication date: 20 April 2009

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.1585

zbMATH Keywords

global symmetriescounting gauge invariantsplethysticssupersymmetric gauge theory D-branes

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Supersymmetric field theories in quantum mechanics (81T60) Singularities of surfaces or higher-dimensional varieties (14J17) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Yang-Mills and other gauge theories in quantum field theory (81T13) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

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Uses Software

• Macaulay2

Cites Work

• Counting chiral operators in quiver gauge theories
• Counting BPS operators in gauge theories: quivers, syzygies and plethystics
• Baryonic generating functions
• Exploring the vacuum geometry of \(\mathcal N=1\) gauge theories
• Hilbert functions of graded algebras
• D3-branes on partial resolutions of abelian quotient singularities of Calabi-Yau threefolds
• D-brane gauge theories from toric singularities and toric duality
• Master spaces and the coupling principle: From geometric invariant theory to gauge theory
• Moduli of McKay quiver representations. II: Gröbner basis techniques
• BRANE TILINGS
• Moduli of McKay quiver representations I: the coherent component