String Duality and Modular Forms

Abstract

Tests of duality between heterotic strings on $K3\times T^2$ (restricted on certain Narain moduli subspaces) and type IIA strings on K3-fibered Calabi-Yau threefolds are attempted in the weak coupling regime on the heterotic side by identifying pertinent modular forms related to the computations of string threshold corrections. Concretely we discuss in parallel the three cases associated with Calabi-Yau manifolds $(A):X(6,2,2,1,1{)}_2^{-252}$, $(B):X(12,8,2,1,1{)}_3^{-480}$ and $(C):X(10,3,3,2,2{)}_4^{-132}$ on the type IIA side.

17 pages, LaTeX 2.09

References in corpus (11)

• Exact Results for N=2 Compactifications of Heterotic Strings
• Algebras, BPS States, and Strings
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• On the Ubiquity of K3 Fibrations in String Duality
• N=2 Type II- Heterotic duality and Higher derivative F-terms
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• Chains of N=2, D=4 heterotic/type II duals
• Enhanced Gauge Symmetries and Calabi-Yau Threefolds
• $N=2$ heterotic string threshold correction, $K3$ surface and generalized Kac-Moody superalgebra
• String-dual $F_1$-Function in the Three Parameter Model
• Topological partition function and string-string duality

Cited by in corpus (18)

• Tensionless Strings and the Weak Gravity Conjecture
• A Stringy Test of the Scalar Weak Gravity Conjecture
• String-Unification, Universal One-Loop Corrections and Strongly Coupled Heterotic String Theory
• (0,2) Heterotic Gauge Couplings and their M-Theory Origin
• Topological String Amplitudes, Complete Intersection Calabi-Yau Spaces and Threshold Corrections
• Exact Gravitational Threshold Correction in the FHSV Model
• A Theta lift representation for the Kawazumi-Zhang and Faltings invariants of genus-two Riemann surfaces
• Mathieu Moonshine and N=2 String Compactifications
• Black Holes and Large Order Quantum Geometry
• The effect of Wilson line moduli on CP-violation by soft supersymmetry breaking terms
• Heterotic string on the CHL orbifold of K3
• Analytic Periods via Twisted Symmetric Squares
• Modular Forms as Classification Invariants of 4D N=2 Heterotic--IIA Dual Vacua
• Solving the Topological String on K3 Fibrations
• Prepotentials, Bi-linear Forms on Periods and Enhanced Gauge Symmetries in Type-II Strings
• Jacobi Forms of Higher Index and Paramodular Groups in N=2, D=4 Compactifications of String Theory
• The Master Equation for the Prepotential-Pub
• Gravitational couplings in $\mathcal{N}=2$ heterotic compactifications with Wilson lines