Type IIA Dual of the Six-Dimensional CHL Compactification

Abstract

We propose a candidate for the dual (in the weak/strong coupling sense) of the six-dimensional heterotic string compactification constructed recently by Chaudhuri, Hockney and Lykken. It is a type IIA string theory compactified on an orbifold $K3/Z_2$, where the $Z_2$ action involves an involution of $K3$ with fixed points, and also has an embedding in the U(1) gauge group associated with the Ramond-Ramond sector of the type IIA string theory. This introduces flux of the U(1) gauge field concentrated at the orbifold points. This construction provides an explicit example where the dual of a super-conformal field theory background of the heterotic string theory is not a standard super-conformal field theory background of the type IIA string theory.

LaTeX file, 10 pages

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Cited by in corpus (44)

• Precision Counting of Small Black Holes
• Lectures on Superstring and M Theory Dualities
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• Entropy Function for Heterotic Black Holes
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• An Orientifold of Type-IIB Theory on $K3$
• Dyon Spectrum in CHL Models
• Exact and Asymptotic Degeneracies of Small Black Holes
• Product Representation of Dyon Partition Function in CHL Models
• Duality and Orbifolds
• Dyon Spectrum in N=4 Supersymmetric Type II String Theories
• On Type IIB Vacua With Varying Coupling Constant
• Orbifold and Orientifold Compactifications of F-Theory and M-Theory to Six and Four Dimensions
• Black Holes, Elementary Strings and Holomorphic Anomaly
• Spectrum of CHL Dyons from Genus-Two Partition Function
• Supersymmetry, Localization and Quantum Entropy Function
• Consistency Conditions for Fivebrane in M Theory on R^5/Z_2 Orbifold
• A Note on the Geometry of CHL Heterotic Strings
• Momentum Lattice for CHL String
• An R^4 non-renormalisation theorem in N=4 supergravity
• M-Theory on (K3 X S^1)/Z_2
• D-strings in unconventional type I vacuum configurations
• N=1 Heterotic/M-theory Duality and Joyce Manifolds
• One-loop four-graviton amplitudes in N=4 supergravity models
• Monstrous String-String Duality
• String Dualities from Matrix Theory
• Orientifold and F-theory Duals of CHL Strings
• Orientifolds and twisted boundary conditions
• Four-derivative couplings and BPS dyons in heterotic CHL orbifolds
• On the equivalence of N=1 brane worlds and geometric singularities with flux
• Heterotic string on the CHL orbifold of K3
• Exact effective interactions and 1/4-BPS dyons in heterotic CHL orbifolds
• Calabi-Yau Duals for CHL Strings
• Novel Type I Compactifications
• Twisting E8 Five-Branes
• An Orbifold and an Orientifold of Type IIB Theory on K3 $\times$ K3
• Positivity of discrete information for CHL black holes
• Arithmetic of decay walls through continued fractions: a new exact dyon counting solution in $\mathcal{N}=4$ CHL models
• Black Hole Hair Removal For N=4 CHL Models
• M-Theory on Orientifolds of $K_3\times S^1$
• Orientifold and Type II Dual Pairs
• Orbifolds of M-Theory and Type II String Theories in Two Dimensions
• Moduli spaces of non-geometric type II/heterotic dual pairs
• Lost Chapters in CHL Black Holes: Untwisted Quarter-BPS Dyons in the ${\mathbb{Z}}_2$ Model