Mirror symmetry and bosonization in 2d and 3d

DOI10.1007/JHEP07(2018)059zbMath1395.81269arXiv1805.00941WikidataQ129528797 ScholiaQ129528797MaRDI QIDQ2413691

Carl Turner, Andreas Karch, David Tong

Publication date: 14 September 2018

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

Full work available at URL: https://arxiv.org/abs/1805.00941

zbMATH Keywords

supersymmetric gauge theoryfield theories in lower dimensionsduality in gauge field theoriesChern-Simons theories

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Symmetry breaking in quantum theory (81R40) Eta-invariants, Chern-Simons invariants (58J28)

Related Items (11)

Duality and an exact Landau-Ginzburg potential for quasi-bosonic Chern-Simons-matter theories ⋮ Line operators in Chern-Simons-matter theories and bosonization in three dimensions. II: Perturbative analysis and all-loop resummation ⋮ Mapping large N slightly broken higher spin (SBHS) theory correlators to free theory correlators ⋮ Comments on \(\mathrm{QCD}_3\) and anomalies with fundamental and adjoint matter ⋮ Flavor broken \(QCD_3\) at large N ⋮ 3d-3d correspondence for mapping tori ⋮ On thermal correlators and bosonization duality in Chern-Simons theories with massive fundamental matter ⋮ Singular BPS boundary conditions in \(\mathcal{N} = (2, 2)\) supersymmetric gauge theories ⋮ The large \(N\) phase diagram of \(\mathcal{N} = 2\) \(\mathrm{SU}(N)\) Chern-Simons theory with one fundamental chiral multiplet ⋮ Evidence for a non-supersymmetric 5d CFT from deformations of 5d SU(2) SYM ⋮ The Hilbert space of large \(N\) Chern-Simons matter theories

Cites Work

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• Correlation functions of large \(N\) Chern-Simons-matter theories and bosonization in three dimensions
• The non-compact elliptic genus: mock or modular
• Unitarity, crossing symmetry and duality of the \(S\)-matrix in large \(N\) Chern-Simons theories with fundamental matter
• Three dimensional bosonization from supersymmetry
• Nonlinear σ model at θ=π: Euclidean lattice formulation and solid-on-solid models
• Mirror symmetry and toric geometry in three dimensional gauge theories
• Dynamics of \(N=2\) supersymmetric Chern-Simons theories
• The fermion-boson mapping in three-dimensional quantum field theory

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