The master space of supersymmetric gauge theories

DOI10.1155/2010/427891zbMath1216.81106OpenAlexW2107989349WikidataQ58650410 ScholiaQ58650410MaRDI QIDQ549051

Alberto Zaffaroni, Amihay Hanany

Publication date: 5 July 2011

Published in: Advances in High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2010/427891

zbMATH Keywords

superchargesquiver gauge theoriesplethystics techniques

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) 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) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items

Brane tilings and reflexive polygons, New directions in bipartite field theories, Quiver asymptotics: N=1 free chiral ring, 4d \(\mathcal{N} = 1\) from 6d D-type \(\mathcal{N} = (1, 0)\), On the master space for brane brick models, Hilbert series and moduli spaces of \(k U(N )\) vortices, Brane tilings and specular duality, Double handled brane tilings, Non-supersymmetric CS-matter theories with known AdS duals

Uses Software

• Macaulay2

Cites Work

• On the classification of brane tilings
• Quiver Chern-Simons theories and crystals
• Tilings, Chern-Simons theories and M2 branes
• A simple class of \(\mathcal N = 3\) gauge/gravity duals
• \(\mathcal N= 6\) superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Counting gauge invariant operators in SQCD with classical gauge groups
• Partition functions for membrane theories
• Superconformal Chern-Simons theories and \(AdS_{4}/CFT_{3}\) correspondence
• \(\mathcal = 5, 6\) superconformal Chern-Simons theories and M2-branes on orbifolds
• Counting chiral operators in quiver gauge theories
• Counting BPS operators in gauge theories: quivers, syzygies and plethystics
• Baryonic generating functions
• Supersymmetric states of \(\mathcal N=4\) Yang-Mills from giant gravitons
• Chern-Simons: Fano and Calabi-Yau
• Counting chiral primaries in \(\mathcal N=1\), \(d=4\) superconformal field theories
• Dual giant gravitons in Sasaki-Einstein backgrounds
• Toric Calabi-Yau four-folds dual to Chern-Simons-matter theories
• Towards M2-brane theories for generic toric singularities
• Sasaki-Einstein manifolds and volume minimisation
• Mastering the master space
• Hilbert functions of graded algebras
• Superconformal field theory on threebranes at a Calabi-Yau singularity
• Molien function for duality
• Non-spherical horizons. I
• The Hilbert series of adjoint SQCD
• Branes at conical singularities and holography
• An index for 4 dimensional super conformal theories
• 3D Seiberg-like dualities and M2 branes
• Counting orbifolds
• Counting BPS operators in the chiral ring of \(\mathcal N=2\) supersymmetric gauge
• M2-branes and Fano 3-folds
• Membranes on an Orbifold
• 3D superconformal theories from Sasakian seven-manifolds: new non-trivial evidences for \(\text{AdS}_ 4/\text{CFT}_ 3\).