On TCS \(G_2\) manifolds and 4D emergent strings

DOI10.1007/JHEP10(2020)045zbMath1456.83109arXiv2006.02350MaRDI QIDQ2657733

Fengjun Xu

Publication date: 14 March 2021

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

Full work available at URL: https://arxiv.org/abs/2006.02350

zbMATH Keywords

M-theorystring dualityF-theoryTwisted Connected Sum (TCS) manifold

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) Supersymmetric field theories in quantum mechanics (81T60) (K3) surfaces and Enriques surfaces (14J28) Applications of differential geometry to physics (53Z05) Matrix models and tensor models for quantum field theory (81T32) Dimensional compactification in quantum field theory (81T33)

Related Items (11)

Superconformal algebras for generalized Spin(7) and \(G_2\) connected sums ⋮ Elliptic \(K3\) surfaces at infinite complex structure and their refined Kulikov models ⋮ Dense geodesics, tower alignment, and the sharpened distance conjecture ⋮ Running decompactification, sliding towers, and the distance conjecture ⋮ Stability of BPS states and weak coupling limits ⋮ The EFT stringy viewpoint on large distances ⋮ Swampland conjectures for strings and membranes ⋮ Quantum corrections in 4d \(N = 1\) infinite distance limits and the weak gravity conjecture ⋮ Local \(G_2\)-manifolds, Higgs bundles and a colored quantum mechanics ⋮ The weak gravity conjecture and axion strings ⋮ Physics of infinite complex structure limits in eight dimensions

Cites Work

• Anomaly cancellation and abelian gauge symmetries in F-theory
• Two-dimensional SCFTs from wrapped branes and \(c\)-extremization
• Some details on the Gopakumar-Vafa and Ooguri-Vafa formulas
• Asymptotically cylindrical Calabi-Yau 3-folds from weak Fano 3-folds
• \(G_2\)-manifolds and associative submanifolds via semi-Fano 3-folds
• Mirror symmetry for \(G_2\)-manifolds: twisted connected sums and dual tops
• \(N=1\) mirror symmetry and open/closed string duality
• Instanton corrections and emergent strings
• The effective action of type IIA Calabi--Yau orientifolds
• On the geometry of the string landscape and the swampland
• Topological gravity as large \(N\) topological gauge theory
• Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces
• Mirror symmetry, \(N=1\) superpotentials and tensionless strings on Calabi-Yau four-folds
• M-theory dynamics on a manifold of \(G_2\) holonomy
• String theory dynamics in various dimensions
• The heterotic string is a soliton.
• Tensionless strings and the weak gravity conjecture
• On gauge enhancement and singular limits in \(G_{2}\) compactifications of M-theory
• The Green-Schwarz mechanism and geometric anomaly relations in 2d (0,2) F-theory vacua
• Compact, singular \(G_2\)-holonomy manifolds and M/heterotic/F-theory duality
• The Refined Swampland Distance Conjecture in Calabi-Yau moduli spaces
• Super-Planckian spatial field variations and quantum gravity
• Chiral 2d theories from \(N=4\) SYM with varying coupling
• The weak gravity conjecture and scalar fields
• Tops as building blocks for \(G_2\) manifolds
• A stringy test of the scalar weak gravity conjecture
• Effective action from M-theory on twisted connected sum \(G_2\)-manifolds
• Towards generalized mirror symmetry for twisted connected sum \(G_2\) manifolds
• Infinite distances in field space and massless towers of states
• Infinitely many M2-instanton corrections to M-theory on \(G_2\)-manifolds
• Algebras, BPS states, and strings
• Evidence for F-theory
• Phase transitions in M-theory and F-theory
• Compact Riemannian 7-manifolds with holonomy \(G_ 2\). I
• Compact Riemannian 7-manifolds with holonomy \(G_ 2\). II
• Mirror symmetry is \(T\)-duality
• M-theory and orientifolds
• Trans-Planckian censorship and the swampland
• Special geometry and the swampland
• Infinite distances and the axion weak gravity conjecture
• Swampland conjectures for type IIB orientifolds with closed-string U(1)s
• The web of swampland conjectures and the TCC bound
• The swampland distance conjecture and towers of tensionless branes
• The swampland distance conjecture for Kähler moduli
• Swampland distance conjecture for one-parameter Calabi-Yau threefolds
• Instantons and infinite distances
• Modular fluxes, elliptic genera, and weak gravity conjectures in four dimensions
• AdS and the swampland
• On mirror maps for manifolds of exceptional holonomy
• Modular symmetries and the swampland conjectures
• Swampland variations on a theme by KKLT
• GKZ-generalized hypergeometric systems in mirror symmetry of Calabi-Yau hypersurfaces
• Quantum geometry of elliptic Calabi-Yau manifolds
• Higgs bundles for M-theory on $G_2$-manifolds
• Infinite distance networks in field space and charge orbits
• Compact G2 holonomy spaces from SU(3) structures
• Counting associatives in compact $G_2$ orbifolds
• Mirror symmetry and supermanifolds
• The landscape of M-theory compactifications on seven-manifolds with \(G_{2}\) holonomy
• Supersymmetric Casimir energy and the anomaly polynomial
• A NONPERTURBATIVE SUPERPOTENTIAL WITH E₈-SYMMETRY
• Monopoles, Duality, and String Theory
• Twisted connected sums and special Riemannian holonomy
• Summing up Dirichlet Instantons
• Adiabatic Limits of Co-associative Kovalev–Lefschetz Fibrations
• Fivebranes and 4-Manifolds
• Mirror symmetry, mirror map and applications to complete intersection Calabi-Yau spaces
• A Tower Weak Gravity Conjecture from Infrared Consistency
• A Spin‐2 Conjecture on the Swampland
• The Swampland: Introduction and Review
• Exact results for \(N=2\) compactifications of heterotic strings

This page was built for publication: On TCS \(G_2\) manifolds and 4D emergent strings