Heterotic string on the CHL orbifold of K3
OPEN ACCESS
Loading...
Author / Producer
Date
2016-02
Publication Type
Journal Article
ETH Bibliography
yes
Citations
Altmetric
OPEN ACCESS
Data
Rights / License
Abstract
We study N=2 compactifications of heterotic string theory on the CHL orbifold (K3×T2)/ZN with N = 2, 3, 5, 7. ZN acts as an automorphism on K3 together with a shift of 1/N along one of the circles of T 2. These compactifications generalize the example of the heterotic string on K3 × T 2 studied in the context of dualities in N=2 string theories. We evaluate the new supersymmetric index for these theories and show that their expansion can be written in terms of the McKay-Thompson series associated with the ZN automorphism embedded in the Mathieu group M 24. We then evaluate the difference in one-loop threshold corrections to the non-Abelian gauge couplings with Wilson lines and show that their moduli dependence is captured by Siegel modular forms related to dyon partition functions of N=4 string theories.
Permanent link
Publication status
published
External links
Editor
Book title
Journal / series
Volume
2016
Pages / Article No.
56
Publisher
Springer
Event
Edition / version
Methods
Software
Geographic location
Date collected
Date created
Subject
Superstrings and Heterotic Strings; Conformal Field Models in String Theory; Superstring Vacua
Organisational unit
03657 - Gaberdiel, Matthias / Gaberdiel, Matthias