Dualities in CHL-Models

Abstract

We define a very general class of CHL-models associated with any string theory (bosonic or supersymmetric) compactified on an internal CFT C x T^d. We take the orbifold by a pair (g,δ), where g is a (possibly non-geometric) symmetry of C and δis a translation along T^d. We analyze the T-dualities of these models and show that in general they contain Atkin-Lehner type symmetries. This generalizes our previous work on N=4 CHL-models based on heterotic string theory on T^6 or type II on K3 x T^2, as well as the `monstrous' CHL-models based on a compactification of heterotic string theory on the Frenkel-Lepowsky-Meurman CFT V^{\natural}.

18 pages

References in corpus (7)

• CHL Dyons and Statistical Entropy Function from D1-D5 System
• Nonperturbative black hole entropy and Kloosterman sums
• Product Representation of Dyon Partition Function in CHL Models
• Discrete Information from CHL Black Holes
• BKM Lie superalgebras from counting twisted CHL dyons
• Four-derivative couplings and BPS dyons in heterotic CHL orbifolds
• BPS Algebras, Genus Zero, and the Heterotic Monster

Cited by in corpus (8)

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• Exact effective interactions and 1/4-BPS dyons in heterotic CHL orbifolds
• Unifying the 6D $\mathcal{N}=(1,1)$ String Landscape
• BPS Algebras in 2D String Theory
• Gravitational couplings in $\mathcal{N}=2$ string compactifications and Mathieu Moonshine
• Fun with $F_{24}$
• Lost Chapters in CHL Black Holes: Untwisted Quarter-BPS Dyons in the ${\mathbb{Z}}_2$ Model
• State counting on fibered CY-3 folds and the non-Abelian Weak Gravity Conjecture