Three-dimensional topologically gauged \(\mathcal{N} = 6 \) ABJM type theories

DOI10.1007/JHEP06(2010)057zbMath1288.81098arXiv0906.1655OpenAlexW2951657133MaRDI QIDQ2452550

Bengt E. W. Nilsson, Xiaoyong Chu

Publication date: 4 June 2014

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

Full work available at URL: https://arxiv.org/abs/0906.1655

zbMATH Keywords

M-theorysupergravity modelsD-branesChern-Simons theories

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supergravity (83E50) 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) Eta-invariants, Chern-Simons invariants (58J28) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05)

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\( \mathcal{N} = 6\) superconformal gravity in three dimensions from superspace, Topologically massive higher spin gauge theories, Coupling of the BLG theory to a conformal supergravity background, The non-linear coupled spin 2-spin 3 cotton equation in three dimensions, On the conformal higher spin unfolded equation for a three-dimensional self-interacting scalar field, Towards an exact frame formulation of conformal higher spins in three dimensions, Saturating the unitarity bound in AdS/CFT\(_{(\mathrm{AdS})}\), Minimal \(\mathcal{N}=4 \) topologically massive supergravity, Off-shell supergravity-matter couplings in three dimensions, \(D = 3\), \(N = 8\) conformal supergravity and the Dragon window, Complete superspace classification of three-dimensional Chern-Simons-matter theories coupled to supergravity, Higgsing M2 to D2 with gravity: \(\mathcal N=6\) chiral supergravity from topologically gauged ABJM theory, Topologically gauged superconformal Chern-Simons matter theories, \( \mathcal{N}=6 \) conformal supergravity in three dimensions, Multiple membranes in M-theory

Cites Work

• \(\mathcal N= 6\) superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• The superconformal gaugings in three dimensions
• Superconformal Chern-Simons theories and \(AdS_{4}/CFT_{3}\) correspondence
• Chiral gravity in three dimensions
• Algebraic structures on parallel M2 branes
• Superconformal gravity in three dimensions as a gauge theory
• 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
• Superconformal M2-branes and generalized Jordan triple systems
• Three-algebras, triple systems and 3-graded Lie superalgebras