Expanding 3d \(\mathcal{N} = 2\) theories around the round sphere

DOI10.1007/JHEP02(2020)102zbMath1435.81182arXiv1912.09617MaRDI QIDQ2188613

Dongmin Gang, Masahito Yamazaki

Publication date: 11 June 2020

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

Full work available at URL: https://arxiv.org/abs/1912.09617

zbMATH Keywords

conformal field theorysupersymmetric gauge theoryChern-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) Eta-invariants, Chern-Simons invariants (58J28)

Related Items

M-theoretic genesis of topological phases ⋮ Large \(N\) partition functions of 3d holographic SCFTs ⋮ Infrared phases of 3D class R theories ⋮ Generalized non-unitary Haagerup-Izumi modular data from 3D S-fold SCFTs ⋮ Trinions for the \(3d\) compactification of the \(5d\) rank 1 \(E_{N_f+1}\) SCFTs ⋮ Non-unitary TQFTs from 3D \(\mathcal{N} = 4\) rank 0 SCFTs ⋮ Compactifying 5d superconformal field theories to 3d ⋮ A 3d disordered superconformal fixed point

Cites Work

• Unnamed Item
• The geometry of supersymmetric partition functions
• Holomorphic blocks in three dimensions
• Chern-Simons theory and S-duality
• On RG flow of \(\tau_{RR}\) for supersymmetric field theories in three-dimensions
• Supersymmetric field theories on three-manifolds
• The exact superconformal R-symmetry extremizes Z
• Factorisation of \( \mathcal{N} = 2 \) theories on the squashed 3-sphere
• Exact results for Wilson loops in superconformal Chern-Simons theories with matter
• Gauge theories labelled by three-manifolds
• SUSY gauge theories on squashed three-spheres
• Towards the \(F\)-theorem: \( \mathcal{N} = 2 \) field theories on the three-sphere
• \( {\text{SL}}\left( {2,\mathbb{R}} \right) \) Chern-Simons, Liouville, and gauge theory on duality walls
• Notes on SUSY gauge theories on three-sphere
• \(F\)-theorem without supersymmetry
• Supersymmetric vacua of mass-deformed M2-brane theory
• The hyperbolic volume of knots from the quantum dilogarithm
• Index for three dimensional superconformal field theories with general \(R\)-charge assignments
• Aspects of 3d \( \mathcal{N}=2 \) Chern-Simons-matter theories
• 3d Chern-Simons theory from M5-branes
• The exact superconformal \(R\)-symmetry minimizes \(\tau _{RR}\)
• Evaluation of state integrals at rational points
• Generalized volume conjecture and the \(A\)-polynomials: The Neumann-Zagier potential function as a classical limit of the partition function
• Exact results for perturbative Chern-Simons theory with complex gauge group
• Aspects of \(N=2\) supersymmetric gauge theories in three dimensions
• The exact superconformal \(R\)-symmetry maximizes \(a\)
• Seifert fibering operators in 3d \( \mathcal{N}=2 \) theories
• K-decompositions and 3d gauge theories
• Supersymmetric partition functions and the three-dimensional A-twist
• 3d \(\;\mathcal{N}=2 \) minimal SCFTs from wrapped M5-branes
• Complex Chern-Simons from M5-branes on the squashed three-sphere
• \( \mathcal{N} = 1\) dualities in 2+1 dimensions
• The 3d stress-tensor bootstrap
• All-order volume conjecture for closed 3-manifolds from complex Chern-Simons theory
• Curious aspects of three-dimensional \( \mathcal{N}=1 \) SCFTs
• Contact terms, unitarity, and F -maximization in three-dimensional superconformal theories
• Conserved currents and the energy-momentum tensor in conformally invariant theories for general dimensions
• The quantum content of the gluing equations
• The complete superconformal index for \({\mathcal N}=6\) Chern-Simons theory
• Symmetry enhancement and closing of knots in 3d/3d correspondence
• A TQFT from quantum Teichmüller theory
• Quantum Riemann surfaces in Chern-Simons theory
• 3-manifolds and 3d indices
• Complex Chern-Simons theory at level \(k\) via the 3d-3d correspondence
• A topologically twisted index for three-dimensional supersymmetric theories
• Bootstrapping SCFTs with four supercharges
• Factorisation and holomorphic blocks in 4d
• Quantization of Integrable Systems and Four Dimensional Gauge Theories
• QUANTUM DILOGARITHM
• The colored Jones polynomials and the simplicial volume of a knot