Monopoles, three-algebras and ABJM theories with \(N = 5,6,8\) supersymmetry

DOI10.1007/JHEP01(2011)037zbMath1214.81216arXiv1012.4568OpenAlexW1985250849MaRDI QIDQ544428

Andreas Gustavsson

Publication date: 14 June 2011

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

Full work available at URL: https://arxiv.org/abs/1012.4568

zbMATH Keywords

M-theoryfield theories in lower dimensionsextended supersymmetryChern-Simons theories

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Eta-invariants, Chern-Simons invariants (58J28)

Related Items

Aspects of ABJ theory, Supersymmetric duality in deformed superloop space, Non-abelian vortices in supersymmetric gauge field theory via direct methods, Unifying \( \mathcal{N} = 5 \) and \( \mathcal{N} = 6 \), Five-dimensional super Yang-Mills theory from ABJM theory, The tensor hierarchy algebra, Higgsing M2 to D2 with gravity: \(\mathcal N=6\) chiral supergravity from topologically gauged ABJM theory, Deconstructing graviphoton from mass-deformed ABJM, Duality between \({\mathcal N}=5\) and \({\mathcal N}=6\) Chern-Simons matter theory

Cites Work

• Charges of monopole operators in Chern-Simons Yang-Mills theory
• Relating U(\(N\)) {\(\times\)} U(\(N\)) to SU(\(N\)) {\(\times\)} SU(\(N\)) Chern-Simons membrane theories
• \(\mathcal N= 6\) superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• The superconformal gaugings in three dimensions
• Studies of the ABJM theory in a formulation with manifest \(SU(4)\) \(R\)-symmetry
• \(\mathcal = 5, 6\) superconformal Chern-Simons theories and M2-branes on orbifolds
• Supersymmetry enhancement by monopole operators
• Supersymmetric vacua of mass-deformed M2-brane theory
• Algebraic structures on parallel M2 branes
• On the Lie-algebraic origin of metric 3-algebras
• The complete superconformal index for \({\mathcal N}=6\) Chern-Simons theory
• Symplectic three-algebra unifying \(\mathcal{N} = 5,6\) superconformal Chern-Simons-Matter theories
• Classification of \(\mathcal{N} = 6\) superconformal theories of ABJM type
• \(\mathcal{N} = 6\) superspace constraints, SUSY enhancement and monopole operators
• Nonperturbative tests of three-dimensional dualities
• Janus configurations, Chern-Simons couplings, and the {\(\theta\)}-angle in \(\mathcal{N} = 4\) super Yang-Mills theory
• $\mathcal {N}=5$ N = 5 three-algebras and 5-graded Lie superalgebras
• Three-algebras and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>6</mml:mn></mml:math>Chern-Simons gauge theories
• Three-algebras, triple systems and 3-graded Lie superalgebras