The Tate form on steroids: resolution and higher codimension fibers

DOI10.1007/JHEP04(2013)061zbMath1342.81302arXiv1212.2949OpenAlexW3105110785MaRDI QIDQ302972

Sakura Schäfer-Nameki, Craig Lawrie

Publication date: 12 August 2016

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

Full work available at URL: https://arxiv.org/abs/1212.2949

zbMATH Keywords

F-theorydifferential geometryalgebraic geometry

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Yang-Mills and other gauge theories in quantum field theory (81T13) Calabi-Yau theory (complex-analytic aspects) (32Q25) Relationships between surfaces, higher-dimensional varieties, and physics (14J81)

Related Items (52)

Box graphs and singular fibers ⋮ Calabi-Yau threefolds with large \(h^{2,1}\) ⋮ Yukawas and discrete symmetries in F-theory compactifications without section ⋮ Physics of F-theory compactifications without section ⋮ Orientifold limits of singular \(F\)-theory vacua ⋮ Theories of class F and anomalies ⋮ F-theory compactifications with multiple U(1)-factors: constructing elliptic fibrations with rational sections ⋮ A Monte Carlo exploration of threefold base geometries for 4d F-theory vacua ⋮ Matter in transition ⋮ F-theory and \(2d (0, 2)\) theories ⋮ Non-Higgsable clusters for 4D F-theory models ⋮ \(\mathbb{P}^1 \)-bundle bases and the prevalence of non-higgsable structure in 4D F-theory models ⋮ F-theory and all things rational: surveying \(U(1)\) symmetries with rational sections ⋮ Higher dimensional elliptic fibrations and Zariski decompositions ⋮ 5d SCFTs from \((E_n, E_m )\) conformal matter ⋮ 6D anomaly-free matter spectrum in F-theory on singular spaces ⋮ Fibers add flavor. II: 5d SCFTs, gauge theories, and dualities ⋮ Fibration structure in toric hypersurface Calabi-Yau threefolds ⋮ Electric-magnetic duality in a class of \(G_2\)-compactifications of M-theory ⋮ Non-split singularities and conifold transitions in F-theory ⋮ Gauge symmetry breaking with fluxes and natural standard model structure from exceptional GUTs in F-theory ⋮ Chiral matter multiplicities and resolution-independent structure in 4D F-theory models ⋮ Machine learning in the string landscape ⋮ Gauge backgrounds and zero-mode counting in F-theory ⋮ The toric SO(10) F-theory landscape ⋮ On the Sen limit squared ⋮ \(SU(5)\) tops with multiple \(U(1)\)s in F-theory ⋮ The duality between F-theory and the heterotic string in \(D=8\) with two Wilson lines ⋮ 5d SCFTs from decoupling and gluing ⋮ Non-flat elliptic four-folds, three-form cohomology and strongly coupled theories in four dimensions ⋮ Scanning the skeleton of the 4D F-theory landscape ⋮ The global gauge group structure of F-theory compactification with U(1)s ⋮ Singular geometry and Higgs bundles in string theory ⋮ When rational sections become cyclic -- gauge enhancement in F-theory via Mordell-Weil torsion ⋮ Higher-form symmetries in 5d ⋮ Non-higgsable QCD and the standard model spectrum in F-theory ⋮ F-theory on all toric hypersurface fibrations and its Higgs branches ⋮ Non-abelian gauge symmetry and the Higgs mechanism in F-theory ⋮ Elliptic Calabi-Yau fivefolds and 2d (0,2) F-theory landscape ⋮ GUT theories from Calabi-Yau 4-folds with \(\mathrm{SO}(10)\) singularities ⋮ Non-simply-laced symmetry algebras in F-theory on singular spaces ⋮ On singular fibres in F-theory ⋮ Phases, flops and F-theory: \(\mathrm{SU}(5)\) gauge theories ⋮ Matter from geometry without resolution ⋮ Fibers add flavor. I: Classification of 5d SCFTs, flavor symmetries and BPS states ⋮ 5d and 4d SCFTs: canonical singularities, trinions and S-dualities ⋮ Phases of 5d SCFTs from M-/F-theory on non-flat fibrations ⋮ Enhanced gauge symmetry in 6D F‐theory models and tuned elliptic Calabi‐Yau threefolds ⋮ Coulomb and Higgs branches from canonical singularities. I: Hypersurfaces with smooth Calabi-Yau resolutions ⋮ On a Lefschetz-type phenomenon for elliptic Calabi-Yaus ⋮ Box graphs and resolutions I ⋮ Box graphs and resolutions. II: From Coulomb phases to fiber faces

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