Enhanced Gauge Symmetries and Calabi-Yau Threefolds

Abstract

We consider the general case of a type IIA string compactified on a Calabi-Yau manifold which has a heterotic dual description. It is shown that the nonabelian gauge symmetries which can appear nonperturbatively in the type II string but which are understood perturbatively in the heterotic string are purely a result of string-string duality in six dimensions. We illustrate this with some examples.

11 pages, LaTeX

References in corpus (13)

• String Theory Dynamics In Various Dimensions
• Simple Singularities and N=2 Supersymmetric Yang-Mills Theory
• Exact Results for N=2 Compactifications of Heterotic Strings
• The Vacuum Structure and Spectrum of N=2 Supersymmetric SU(N) Gauge Theory
• Algebras, BPS States, and Strings
• Some Comments On String Dynamics
• K3--Fibrations and Heterotic-Type II String Duality
• Black Hole Condensation and the Unification of String Vacua
• The Heterotic String is a Soliton
• Enhanced Gauge Symmetries and K3 Surfaces
• On the Ubiquity of K3 Fibrations in String Duality
• Chains of N=2, D=4 heterotic/type II duals
• An N=2 Dual Pair and a Phase Transition

Cited by in corpus (39)

• Geometric Engineering of Quantum Field Theories
• Five-Dimensional Supersymmetric Gauge Theories and Degenerations of Calabi-Yau Spaces
• Small Instantons, del Pezzo Surfaces and Type I' theory
• Enhanced Gauge Symmetry in Type II String Theory
• Branes, Calabi-Yau Spaces, and Toroidal Compactification of the N=1 Six-Dimensional E_8 Theory
• The SO(32) Heterotic String on a K3 Surface
• Duality Between the Webs of Heterotic and Type II Vacua
• Instanton sums and five-dimensional gauge theories
• Equivalence of Geometric Engineering and Hanany-Witten via Fractional Branes
• D7-Brane Motion from M-Theory Cycles and Obstructions in the Weak Coupling Limit
• New Higgs Transitions between Dual N=2 String Models
• Holomorphic Couplings in String Theory
• Perturbative Couplings and Modular Forms in N=2 String Models with a Wilson Line
• A Class of N=1 Dual String Pairs and its Modular Superpotential
• Massless D-Branes on Calabi-Yau Threefolds and Monodromy
• The web of Calabi-Yau hypersurfaces in toric varieties
• Landau-Ginzburg Vacua of String, M- and F-Theory at c=12
• Heterotic-Heterotic String Duality and Multiple K3 Fibrations
• String Duality and Modular Forms
• Compactification, Geometry and Duality: N=2
• Decompactifications and Massless D-Branes in Hybrid Models
• Enhanced Gauge Symmetry in Type II and F-Theory Compactifications: Dynkin Diagrams from Polyhedra
• Solitons in Seiberg-Witten Theory and D-branes in the Derived Category
• Moduli Space Reconstruction and Weak Gravity
• Comments on A,B,C Chains of Heterotic and Type II Vacua
• Geometric engineering of (framed) BPS states
• String Vacua with N=2 Supersymmetry in Four Dimensions
• Superpotentials from Singular Divisors
• Evidence for S-Duality in N=4 Supersymmetric Gauge Theory
• F-Theory Duals of Nonperturbative Heterotic E8xE8 Vacua in Six Dimensions
• Enhanced gauge symmetry and braid group actions
• Dualities and phase transitions for Calabi-Yau 3folds and 4folds
• M theory, Joyce Orbifolds and Super Yang-Mills
• Symmetries of K3 sigma models
• M-theory on G_2 manifolds and the method of (p,q) brane webs
• Special Geometry and Automorphic Forms
• The Master Equation for the Prepotential-Pub
• On Type II Superstrings in Less Than Four Dimensions
• Comments on D-Brane and $SO(2N)$ Enhanced Symmetry in Type II String