Non-Perturbative Properties of Heterotic String Vacua Compactified on $K3\times T^2$

Abstract

Using the heterotic--type II duality of $N=2$ string vacua in four space-time dimensions we study non-perturbative couplings of toroidally compactified six-dimensional heterotic vacua. In particular, the heterotic--heterotic $S$-duality and the Coulomb branch of tensor multiplets observed in six dimensions are studied from a four-dimensional point of view. We explicitly compute the couplings of the vector multiplets of several type II vacua and investigate the implications for their heterotic duals.

39 pages, harvmac, 4 figures, minor changes, version to appear in Nucl.Phys.B

References in corpus (13)

• Eleven-Dimensional Supergravity on a Manifold with Boundary
• Evidence for F-Theory
• Compactifications of F-Theory on Calabi--Yau Threefolds -- II
• Compactifications of F-Theory on Calabi--Yau Threefolds -- I
• Phase Transitions In M-Theory And F-Theory
• Comments on String Dynamics in Six Dimensions
• Small $E_8$ Instantons and Tensionless Non-critical Strings
• Anomalies, Dualities, and Topology of D=6 N=1 Superstring Vacua
• Low-Energy Analysis of $M$ and $F$ Theories on Calabi-Yau Threefolds
• Heterotic phase transitions and singularities of the gauge dyonic string
• Heterotic/Heterotic Duality in D=6,4
• Heterotic-Heterotic String Duality and Multiple K3 Fibrations
• Instanton Numbers and Exchange Symmetries in $N=2$ Dual String Pairs

Cited by in corpus (46)

• Calabi-Yau fourfolds for M- and F-Theory compactifications
• Black Holes and Solitons in String Theory
• GUTs in Type IIB Orientifold Compactifications
• F-Theory and the Mordell-Weil Group of Elliptically-Fibered Calabi-Yau Threefolds
• Classical and quantum N=2 supersymmetric black holes
• String-Unification, Universal One-Loop Corrections and Strongly Coupled Heterotic String Theory
• Mirror Symmetry, N=1 Superpotentials and Tensionless Strings on Calabi-Yau Four-Folds
• Heterotic Moduli Stabilization with Fractional Chern-Simons Invariants
• Special Geometry of Euclidean Supersymmetry I: Vector Multiplets
• (0,2) Heterotic Gauge Couplings and their M-Theory Origin
• Non-Perturbative Superpotentials in F-theory and String Duality
• Conformal Aspects of Spinor-Vector Duality
• M-theory cosmologies from singular Calabi-Yau compactifications
• Non-Critical Strings, Del Pezzo Singularities And Seiberg-Witten Curves
• Duality in Heterotic Vacua With Four Supercharges
• Non-extremal Black Holes, Harmonic Functions, and Attractor Equations
• Completeness in supergravity constructions
• N=2 Supergravity Lagrangians with Vector-Tensor Multiplets
• Effective Supergravity Actions for Flop Transitions
• Flop Transitions in M-theory Cosmology
• Black Holes and Flop Transitions in M-Theory on Calabi-Yau Threefolds
• The Hesse potential, the c-map and black hole solutions
• Chern-Simons Couplings and Inequivalent Vector-Tensor Multiplets
• Physics of Infinite Complex Structure Limits in eight Dimensions
• Dynamical Topology Change in M Theory
• On the Complementarity of F-theory, Orientifolds, and Heterotic Strings
• Effective Actions near Singularities
• Domain walls of D=5 supergravity and fixed points of N=1 Super Yang Mills
• Classical and Quantum Aspects of BPS Black Holes in N=2, D=4 Heterotic String Compactifications
• Complex/Symplectic Mirrors
• Moving Moduli, Calabi-Yau Phase Transitions and Massless BPS Configurations in Type II Superstrings
• String Vacua with N=2 Supersymmetry in Four Dimensions
• Subleading contributions from instanton corrections in N = 2 supersymmetric black hole entropy
• Perturbative gravitational couplings and Siegel modular forms in $D=4,N=2$ string models
• Excision of Singularities by Stringy Domain Walls
• The Kahler Cone as Cosmic Censor
• Extended Gauge Symmetries in F-theory
• Topological Transitions and Enhancon-like Geometries in Calabi-Yau Compactifications of M-Theory
• Non-extremal black hole solutions from the c-map
• Heterotic-Type II duality in the hypermultiplet sector
• Gauge Symmetry Enhancement and N = 2 Supersymmetric Quantum Black Holes in Heterotic String Vacua
• Duality invariance in Fayet-Iliopoulos gauged supergravity
• Type IIA on a Compact Calabi-Yau and D=11 Supergravity Uplift of its Orientifold
• Jacobi Forms of Higher Index and Paramodular Groups in N=2, D=4 Compactifications of String Theory
• ASK/PSK-correspondence and the r-map
• Aspects of Collapsing Cycles