String-dual $F_1$-Function in the Three Parameter Model

Abstract

Computation of the holomorphic $F_1$-function describing one-loop gravitational couplings of vectormultiplets is shown to confirm string-string duality of the proposed dual pair consisting of the heterotic string on $K3\times T^2$ with gauge group $U(1{)}^4$ and the type IIA string on the Calabi-Yau $W{P}_{1,1,2,8,12}^4(24)$.

6 pages, latex

Cited by in corpus (22)

• Geometric Engineering of Quantum Field Theories
• Self-Dual Strings and N=2 Supersymmetric Field Theory
• Black Holes and Solitons in String Theory
• Introduction to Seiberg-Witten Theory and its Stringy Origin
• Duality Between the Webs of Heterotic and Type II Vacua
• M-Theory on a Calabi-Yau Manifold
• Toric Geometry and Enhanced Gauge Symmetry of F-Theory/Heterotic Vacua
• Non-Perturbative Properties of Heterotic String Vacua Compactified on $K3\times T^2$
• New Higgs Transitions between Dual N=2 String Models
• Holomorphic Couplings in String Theory
• Special geometry in hypermultiplets
• On the Duality between the Heterotic String and F-Theory in 8 Dimensions
• Perturbative Couplings and Modular Forms in N=2 String Models with a Wilson Line
• Modular Symmetries of N=2 Black Holes
• Instanton Numbers and Exchange Symmetries in $N=2$ Dual String Pairs
• String Duality and Modular Forms
• Higher-Order Gravitational Couplings and Modular Forms in $N=2,D=4$ Heterotic String Compactifications
• Comments on A,B,C Chains of Heterotic and Type II Vacua
• String Vacua with N=2 Supersymmetry in Four Dimensions
• Perturbative gravitational couplings and Siegel modular forms in $D=4,N=2$ string models
• F-Theory Duals of Nonperturbative Heterotic E8xE8 Vacua in Six Dimensions
• The low-energy effective action for perturbative heterotic strings on $K_3\times T^2$ and the d=4 N=2 vector-tensor multiplet