Geometry and Topology of String Junctions

DOI10.5427/jsing.2016.15czbMath1346.81110arXiv1410.6817OpenAlexW2962889844MaRDI QIDQ2818786

Antonella Grassi, Julius L. Shaneson, James Halverson

Publication date: 8 September 2016

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.6817

Mathematics Subject Classification ID

String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Fibrations, degenerations in algebraic geometry (14D06) Simple, semisimple, reductive (super)algebras (17B20) Formal methods and deformations in algebraic geometry (14D15)

Related Items

A Monte Carlo exploration of threefold base geometries for 4d F-theory vacua, On gauge enhancement and singular limits in \(G_{2}\) compactifications of M-theory, The landscape of M-theory compactifications on seven-manifolds with \(G_{2}\) holonomy, \(\mathbb{P}^1 \)-bundle bases and the prevalence of non-higgsable structure in 4D F-theory models, On the BPS spectrum of the rank-1 Minahan-Nemeschansky theories, 6D anomaly-free matter spectrum in F-theory on singular spaces, Chiral 2d theories from \(N=4\) SYM with varying coupling, Dualities of deformed \( \mathcal{N}=2 \) SCFTs from link monodromy on D3-brane states, Machine learning in the string landscape, Strong coupling in F-theory and geometrically non-Higgsable seven-branes, Infinitely many M2-instanton corrections to M-theory on \(G_2\)-manifolds, Non-simply-laced symmetry algebras in F-theory on singular spaces, Pseudolattices, del Pezzo surfaces, and Lefschetz fibrations

Uses Software

• SageMath
• Python
• py-junctions

Cites Work

• Non-simply laced Lie algebras via F theory strings
• Matter from geometry without resolution
• Exceptional groups from open strings
• Dualities of deformed \( \mathcal{N}=2 \) SCFTs from link monodromy on D3-brane states
• Discrete groups generated by reflections
• Evidence for F-theory
• Compactifications of F-theory on Calabi-Yau threefolds. I
• Non-abelian gauge symmetry and the Higgs mechanism in F-theory
• Singularities of 2-spheres in 4-space and cobordism of knots
• String junctions for arbitrary Lie-algebra representations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item