On the classification of \(5d\) SCFTs

DOI10.1007/JHEP09(2020)007zbMath1454.81179arXiv1909.09635OpenAlexW3082846390MaRDI QIDQ1995054

Lakshya Bhardwaj

Publication date: 18 February 2021

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

Full work available at URL: https://arxiv.org/abs/1909.09635

zbMATH Keywords

conformal field theoryM-theoryfield theories in higher dimensionsconformal field models in string theory

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) String and superstring theories in gravitational theory (83E30) Supersymmetric field theories in quantum mechanics (81T60) Renormalization group methods applied to problems in quantum field theory (81T17) Kaluza-Klein and other higher-dimensional theories (83E15)

Related Items (37)

Supersymmetry breaking deformations and phase transitions in five dimensions ⋮ (Symplectic) leaves and (5d Higgs) branches in the poly(go)Nesian tropical rain forest ⋮ Classification of 5d \(\mathcal{N} = 1\) gauge theories ⋮ Twisted circle compactifications of \(6d\) SCFTs ⋮ Complete prepotential for 5d \(\mathcal{N} = 1\) superconformal field theories ⋮ Blowup equations for little strings ⋮ Twisted fibrations in M/F-theory ⋮ On non-supersymmetric fixed points in five dimensions ⋮ 5d Higgs branches from M-theory on quasi-homogeneous cDV threefold singularities ⋮ Seiberg-Witten curves with \(\mathrm{O}7^\pm\)-planes ⋮ Hierarchies of RG flows in 6d \((1, 0)\) massive E-strings ⋮ A 5d perspective on the compactifications of 6d SCFTs to 4d \(\mathcal{N} = 1\) SCFTs ⋮ On the compactification of \(5d\) theories to \(4d\) ⋮ Genus zero Gopakumar-Vafa invariants from open strings ⋮ Compactifying 5d superconformal field theories to 3d ⋮ Flavor symmetry of \(5d\) SCFTs. Part I. General setup. ⋮ Higher-form symmetries of \(6d\) and \(5d\) theories ⋮ More \(5d\) KK theories ⋮ (5d RG-flow) trees in the tropical rain forest ⋮ Do all \(5d\) SCFTs descend from \(6d\) SCFTs? ⋮ Bootstrapping BPS spectra of 5d/6d field theories ⋮ Diagrammatic expansion of non-perturbative little string free energies ⋮ Topological strings on genus one fibered Calabi-Yau 3-folds and string dualities ⋮ Fibre-base duality of 5d KK theories ⋮ 5d and 4d SCFTs: canonical singularities, trinions and S-dualities ⋮ Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d ⋮ 5D \(\mathcal{N} = 1\) super QFT: symplectic quivers ⋮ Coulomb branch global symmetry and quiver addition ⋮ Gauged 2-form symmetries in 6D SCFTs coupled to gravity ⋮ Connecting 5d Higgs branches via Fayet-Iliopoulos deformations ⋮ Compactness of brane moduli and the string lamppost principle in \(d > 6\) ⋮ Higgs branches of rank-0 5d theories from M-theory on \((A_j, A_l)\) and \((A_k, D_n)\) singularities ⋮ Gauging discrete symmetries of \(T_N\)-theories in five dimensions ⋮ Exploring the orthosymplectic zoo ⋮ Seiberg-Witten geometry, modular rational elliptic surfaces and BPS quivers ⋮ S-foldings of 5d SCFTs ⋮ Testing our understanding of SCFTs: a catalogue of rank-2 \(\mathcal{N} = 2\) theories in four dimensions

Cites Work

• Three dimensional canonical singularity and five dimensional \(\mathcal{N} = 1 \) SCFT
• Triples, fluxes, and strings
• Toroidal compactification without vector structure
• Frozen singularities in M and F theory
• On geometric classification of 5d SCFTs
• 6D SCFTs and phases of 5D theories
• The frozen phase of F-theory
• Addendum to: Classifying 5d SCFTs via 6d SCFTs: rank one
• 5d superconformal field theories and graphs
• Fibers add flavor. II: 5d SCFTs, gauge theories, and dualities
• Revisiting the classifications of \(6d\) SCFTs and LSTs
• Dualities of \(5d\) gauge theories from S-duality
• On S-duality of 5d super Yang-Mills on \(S^{1}\)
• Classifying \(5d\) SCFTs via \(6d\) SCFTs: arbitrary rank
• Fibers add flavor. I: Classification of 5d SCFTs, flavor symmetries and BPS states
• Phases of 5d SCFTs from M-/F-theory on non-flat fibrations
• Classification of 6d \( \mathcal{N}=\left(1,0\right) \) gauge theories
• Atomic classification of 6D SCFTs

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