On the reduction of 4d \( \mathcal{N}=1 \) theories on \( {\mathbb{S}}^2 \)

DOI10.1007/JHEP11(2015)163zbMath1388.81181arXiv1506.08795MaRDI QIDQ2636171

Abhijit Gadde, Shlomo S. Razamat, Brian Willett

Publication date: 31 May 2018

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

Full work available at URL: https://arxiv.org/abs/1506.08795

zbMATH Keywords

supersymmetric gauge theoryduality in gauge field theoriessupersymmetry and duality

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items

\(q\)-Virasoro modular double and 3d partition functions ⋮ Flowing from 16 to 32 supercharges ⋮ 5d partition functions with a twist ⋮ Brane brick models, toric Calabi-Yau 4-folds and 2d \((0,2)\) quivers ⋮ (0,4) dualities ⋮ Two-dimensional SCFTs from D3-branes ⋮ Comments on twisted indices in 3d supersymmetric gauge theories ⋮ Factorisation and holomorphic blocks in 4d ⋮ Studying superconformal symmetry enhancement through indices ⋮ Supersymmetric gauged matrix models from dimensional reduction on a sphere ⋮ A ``Lagrangian for the \(E_7\) superconformal theory ⋮ Non minimal d-type conformal matter compactified on three punctured spheres ⋮ New 2d \(\mathcal{N} = (0, 2)\) dualities from four dimensions ⋮ An \(\mathcal{N} = 1\) Lagrangian for the rank 1 \( E_6\) superconformal theory ⋮ RG flows with supersymmetry enhancement and geometric engineering ⋮ S-confining gauge theories and supersymmetry enhancements ⋮ Dualities of adjoint SQCD and supersymmetry enhancement ⋮ Modular factorization of superconformal indices ⋮ 5d to 3d compactifications and discrete anomalies ⋮ On dimensional reduction of 4d $ \mathcal{N}=1 $ Lagrangians for Argyres-Douglas theories ⋮ Factorising the 3D topologically twisted index ⋮ Supersymmetric localization in two dimensions ⋮ Orbifold reduction and 2d (0,2) gauge theories ⋮ Supersymmetric partition functions and the three-dimensional A-twist ⋮ The \(\mathrm{SL}(2, \mathbb{Z})\) dualization algorithm at work ⋮ Global structures from the infrared ⋮ Quadrality for supersymmetric matrix models ⋮ Trinions for the \(3d\) compactification of the \(5d\) rank 1 \(E_{N_f+1}\) SCFTs ⋮ \( \mathcal{N} =1 \) supersymmetric indices and the four-dimensional A-model ⋮ c-extremization from toric geometry ⋮ On exceptional instanton strings ⋮ \( \mathcal{N} =1\) Lagrangians for generalized Argyres-Douglas theories ⋮ Superconformal index, BPS monodromy and chiral algebras ⋮ Trisecting non-Lagrangian theories ⋮ 2D Seiberg-like dualities with an adjoint matter ⋮ The Cardy limit of the topologically twisted index and black strings in \(\mathrm{AdS}_{5}\) ⋮ Cardy formula for 4d SUSY theories and localization ⋮ Surveying 4d SCFTs twisted on Riemann surfaces ⋮ A 4d \(\mathcal{N} = 1\) Cardy formula ⋮ 2D Seiberg-like dualities for orthogonal gauge groups ⋮ Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\) ⋮ Five-dimensional cohomological localization and squashed \(q\)-deformations of two-dimensional Yang-Mills theory ⋮ Deconfining \(\mathcal{N} = 2\) SCFTs or the art of brane bending ⋮ Comments on symmetric mass generation in 2d and 4d

Cites Work

• Unnamed Item
• 2d index and surface operators
• \(3d\) dualities from \(4d\) dualities
• Elliptic genera of two-dimensional \({\mathcal{N} = 2}\) gauge theories with rank-one gauge groups
• Relation between the 4d superconformal index and the \(\mathbf S^{3}\) partition function
• \(3d\) dualities from \(4d\) dualities for orthogonal groups
• Electric-magnetic duality in supersymmetric non-abelian gauge theories
• Reducing the 4d index to the \(S^3\) partition function
• Elliptic genera of 2d \(\mathcal N = 2\) gauge theories
• The equivariant A-twist and gauged linear sigma models on the two-sphere
• A topologically twisted index for three-dimensional supersymmetric theories