New perspectives in the duality of M-theory, heterotic strings, and F-theory

Abstract

We discuss a new perspective on the dualities among seven-dimensional M-theory on elliptically fibered K3 surfaces, eight-dimensional (8D) heterotic strings on $T^2$, and 8D F-theory on elliptic K3 surfaces. There are several distinct small-fiber F-theory limits of a single M-theory, and we deduce that the distinct F-theory limits of an identical M-theory generally include both an F-theory limit, wherein a discrete gauge symmetry forms, and another F-theory limit, wherein a discrete gauge symmetry does not form. We also discuss constraints imposed on the degrees of discrete gauge groups and on the continuous gauge groups formed in F-theory on K3 surfaces by applying a formula that is known to hold for genus-one fibrations of K3 surfaces, and by utilizing the existence of the Jacobian fibrations.

arXiv comment25 pages, references added

References in corpus (28)

• M Theory, Orientifolds and G-Flux
• Vector Bundles And F Theory
• F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches
• The SO(32) Heterotic String on a K3 Surface
• Mordell-Weil Torsion and the Global Structure of Gauge Groups in F-theory
• Physics of F-theory compactifications without section
• Discrete Gauge Symmetries by Higgsing in four-dimensional F-Theory Compactifications
• Les Houches Lectures on Strings and Arithmetic
• Yukawas and discrete symmetries in F-theory compactifications without section
• Fixing All Moduli for M-Theory on K3xK3
• Swampland Bounds on the Abelian Gauge Sector
• K3 surfaces, modular forms, and non-geometric heterotic compactifications
• Landscaping with fluxes and the E8 Yukawa Point in F-theory
• Machine Learning Calabi-Yau Four-folds
• Six line configurations and string dualities
• Non-Higgsable abelian gauge symmetry and F-theory on fiber products of rational elliptic surfaces
• Enhancements in F-theory models on moduli spaces of K3 surfaces with $ADE$ rank 17
• Discrete gauge groups in certain F-theory models in six dimensions
• Gauge symmetries and matter fields in F-theory models without section- compactifications on double cover and Fermat quartic K3 constructions times K3
• Ubiquity of non-geometry in heterotic compactifications
• Gauge groups and matter spectra in F-theory compactifications on genus-one fibered Calabi-Yau 4-folds without section - hypersurface and double cover constructions
• On the Classification of Elliptic Fibrations modulo Isomorphism on K3 Surfaces with large Picard Number
• Classification of extremal elliptic K3 surfaces and fundamental groups of open K3 surfaces
• The duality between F-theory and the Heterotic String in $D=8$ with two Wilson lines
• F-theory and Heterotic Duality, Weierstrass Models from Wilson lines
• Picard lattices of families of K3 surfaces
• More on a dessin on the base: Kodaira exceptional fibers and mutually (non-)local branes
• Magic square and half-hypermultiplets in F-theory