F-theory on Quotient Threefolds with (2,0) Discrete Superconformal Matter

Abstract

We explore 6-dimensional compactifications of F-theory exhibiting (2,0) superconformal theories coupled to gravity that include discretely charged superconformal matter. Beginning with F-theory geometries with Abelian gauge fields and superconformal sectors, we provide examples of Higgsing transitions which break the $U(1)$ gauge symmetry to a discrete remnant in which the matter fields are also non-trivially coupled to a (2,0) SCFT. In the compactification background this corresponds to a geometric transition linking two fibered Calabi-Yau geometries defined over a singular base complex surface. An elliptically fibered Calabi-Yau threefold with non-zero Mordell-Weil rank can be connected to a smooth non-simply connected genus one fibered geometry constructed as a Calabi-Yau quotient. These hyperconifold transitions exhibit multiple fibers in co-dimension 2 over the base.

60 pages, 11 pages appendices, 18 Figures, 2 Tables, references added, typos corrected, extended introduction, extended discussion of Section 4.3, published version

References in corpus (16)

• 6d Conformal Matter
• F-Theory and the Mordell-Weil Group of Elliptically-Fibered Calabi-Yau Threefolds
• Anomaly polynomial of general 6d SCFTs
• F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches
• Mordell-Weil Torsion and the Global Structure of Gauge Groups in F-theory
• Discrete Gauge Symmetries by Higgsing in four-dimensional F-Theory Compactifications
• Fibrations in CICY Threefolds
• TASI Lectures on Supergravity and String Vacua in Various Dimensions
• Topological Invariants and Fibration Structure of Complete Intersection Calabi-Yau Four-Folds
• Integral Cohomology and Mirror Symmetry for Calabi-Yau 3-folds
• Multiple Fibrations in Calabi-Yau Geometry and String Dualities
• Hodge Numbers for All CICY Quotients
• Hyperconifold Transitions, Mirror Symmetry, and String Theory
• Exotic matter on singular divisors in F-theory
• Trivializing and Orbifolding the Conifold's Base
• Tools for CICYs in F-theory

Cited by in corpus (21)

• 2-Group Symmetries of 6d Little String Theories and T-duality
• Phases of 5d SCFTs from M-/F-theory on Non-Flat Fibrations
• Universal Features of BPS Strings in Six-dimensional SCFTs
• 6d SCFTs and U(1) Flavour Symmetries
• Revisiting the classifications of 6d SCFTs and LSTs
• Gauged 2-form Symmetries in 6D SCFTs Coupled to Gravity
• Fine Tuning, Sequestering, and the Swampland
• Generic matter representations in 6D supergravity theories
• Towards Exotic Matter and Discrete Non-Abelian Symmetries in F-theory
• Non-Simply-Connected Symmetries in 6D SCFTs
• Discrete gauge groups in certain F-theory models in six dimensions
• Nongeometric heterotic strings and dual F-theory with enhanced gauge groups
• F-Theory on Quotients of Elliptic Calabi-Yau Threefolds
• The discrete Green-Schwarz mechanism in 6D F-Theory and Elliptic Genera of Non-Critical Strings
• Modular Curves and Mordell-Weil Torsion in F-theory
• Modular curves, the Tate-Shafarevich group and Gopakumar-Vafa invariants with discrete charges
• Global tensor-matter transitions in F-theory
• Unbroken $E_7\times E_7$ nongeometric heterotic strings, stable degenerations and enhanced gauge groups in F-theory duals
• Fibrations in Non-simply Connected Calabi-Yau Quotients
• F-theory models with $U(1)\times {\mathbb{Z}}_2,{\mathbb{Z}}_4$ and transitions in discrete gauge groups
• A note on transition in discrete gauge groups in F-theory