Heterotic string on the CHL orbifold of K3

Datta, Shouvik ; David, Justin R. ; Lüst, Dieter (2016) Heterotic string on the CHL orbifold of K3 Journal of High Energy Physics, 2016 (2). ISSN 1029-8479

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Official URL: http://doi.org/10.1007/JHEP02(2016)056

Related URL: http://dx.doi.org/10.1007/JHEP02(2016)056


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.

Item Type:Article
Source:Copyright of this article belongs to Springer Nature Switzerland AG.
Keywords:Superstrings and Heterotic Strings; Conformal Field Models in String Theory; Superstring Vacua.
ID Code:117006
Deposited On:14 Apr 2021 08:24
Last Modified:14 Apr 2021 08:24

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