Chern-Simons-Rozansky-Witten topological field theory

DOI10.1016/j.nuclphysb.2009.07.006zbMath1196.81211arXiv0904.1447OpenAlexW2073961031MaRDI QIDQ1960132

Anton Kapustin, Natalia Saulina

Publication date: 12 October 2010

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.1447

zbMATH Keywords

Chern-Simons theory

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Grassmannians, Schubert varieties, flag manifolds (14M15) Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of deformations of analytic structures to the sciences (32G81) Topological field theories in quantum mechanics (81T45) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Superalgebras (17A70)

Related Items (22)

A topological Chern-Simons sigma model and new invariants of three-manifolds ⋮ \(\Omega\)-deformation and quantization ⋮ A supermatrix model for \(\mathcal{N} = 6\) super Chern-Simons-matter theory ⋮ BV quantization of the Rozansky-Witten model ⋮ A physical origin for singular support conditions in geometric Langlands theory ⋮ \(\mathcal{N}\)-extended D = 4 supergravity, unconventional SUSY and graphene ⋮ Vertex operator algebras and topologically twisted Chern-Simons-matter theories ⋮ Twisting D(2,1; α) Superspace ⋮ On \(\mathcal{N} = 4\) supersymmetry enhancements in three dimensions ⋮ Knot invariants and new weight systems from general 3D TFTs ⋮ From weak to strong coupling in ABJM theory ⋮ The \(\mathcal{N}_3=3\to\mathcal{N}_3=4\) enhancement of super Chern-Simons theories in \(D=3\), Calabi HyperKähler metrics and M2-branes on the \(\mathcal{C}(\mathrm{N}^{0,1,0})\) conifold ⋮ Ground states of S-duality twisted N = 4 super Yang-Mills theory ⋮ Branes and supergroups ⋮ Quantum integrable systems from supergroup gauge theories ⋮ Boundary conditions in topological \(\mathrm{AdS}_4/\mathrm{CFT}_3\) ⋮ Gravitational free energy in topological AdS/CFT ⋮ The quantum theory of Chern-Simons supergravity ⋮ Vertex operator algebras and 3d \( \mathcal{N} = 4 \) gauge theories ⋮ Rozansky-Witten theory, localised then tilted ⋮ Formal global perturbative quantization of the Rozansky-Witten model in the BV-BFV formalism ⋮ Topological twists of supersymmetric algebras of observables

Cites Work

• Unnamed Item
• Quantum field theory and the Jones polynomial
• The partition function of a degenerate functional
• Hyper-Kähler geometry and invariants of three-manifolds
• On the Vassiliev knot invariants
• Topological correlators in Landau-Ginzburg models with boundaries
• \(S\)-duality of boundary conditions in \({\mathcal N}=4\) super Yang-Mills theory
• Janus configurations, Chern-Simons couplings, and the {\(\theta\)}-angle in \(\mathcal{N} = 4\) super Yang-Mills theory

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