Exact Monodromy Group of N=2 Heterotic Superstring

Abstract

We describe an $N=2$ heterotic superstring model of rank-3 which is dual to the type-II string compactified on a Calabi-Yau manifold with Betti numbers $b_{1,1}=2$ and $b_{1,2}=86$. We show that the exact duality symmetry found from the type II realization contains the perturbative duality group of the heterotic model, as well as the exact quantum monodromies of the rigid $SU(2)$ super-Yang-Mills theory. Moreover, it contains a non-perturbative monodromy which is stringy in origin and corresponds roughly to an exchange of the string coupling with the compactification radius.

29 pages, latex-file, a few corrections and additions in references

References in corpus (5)

• Massless Black Holes and Conifolds in String Theory
• Exact Results for N=2 Compactifications of Heterotic Strings
• Nonperturbative Results on the Point Particle Limit of N=2 Heterotic String Compactifications
• K3--Fibrations and Heterotic-Type II String Duality
• Perturbative and non-perturbative monodromies in N=2 heterotic string vacua

Cited by in corpus (32)

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• Black Holes and Solitons in String Theory
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• N=2 Heterotic Superstring and its Dual Theory in Five Dimensions
• (0,2) Heterotic Gauge Couplings and their M-Theory Origin
• Chains of N=2, D=4 heterotic/type II duals
• Super no-scale models in string theory
• An N=2 Dual Pair and a Phase Transition
• Holomorphic Couplings in String Theory
• Special geometry in hypermultiplets
• 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
• Cosmological Phases of the String Thermal Effective Potential
• Large volume susy breaking with a solution to the decompactification problem
• Superstring cosmology for N_4 = 1 -> 0 superstring vacua
• Instanton Numbers and Exchange Symmetries in $N=2$ Dual String Pairs
• Higher-Order Gravitational Couplings and Modular Forms in $N=2,D=4$ Heterotic String Compactifications
• String Vacua with N=2 Supersymmetry in Four Dimensions
• On the equivalence of N=1 brane worlds and geometric singularities with flux
• $K3$-Fibrations and Softly Broken $N=4$ Supersymmetric Gauge Theories
• Thermal and quantum induced early superstring cosmology
• Moduli stabilization in type II Calabi-Yau compactifications at finite temperature
• Modular Forms as Classification Invariants of 4D N=2 Heterotic--IIA Dual Vacua
• Solving the Topological String on K3 Fibrations
• The low-energy effective action for perturbative heterotic strings on $K_3\times T^2$ and the d=4 N=2 vector-tensor multiplet
• Witten Anomaly in 4d Heterotic Compactificaitons with N = 2 Supersymmetry
• The Master Equation for the Prepotential-Pub
• Orientifold and Type II Dual Pairs
• Theoretical and Phenomenological Aspects of Superstring Theories
• Non Perturbative Check of N=2, D=4 Heterotic/Type II Duality
• Direct Computation of Monodromy Matrices and Classification of 4d N=2 Heterotic--IIA Dual Vacua