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Heterotic string on the CHL orbifold of K3

Datta, Shouvik and David, Justin R and Luest, Dieter (2016) Heterotic string on the CHL orbifold of K3. In: JOURNAL OF HIGH ENERGY PHYSICS (2).

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


We study N = 2 compactifications of heterotic string theory on the CHL orbifold (K3 x T-2)/Z(N) with N = 2, 3, 5, 7. Z(N) 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 x T-2 studied in the context of dualities in 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 Z(N) 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: Journal Article
Publisher: SPRINGER
Additional Information: Copy right for this article belongs to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Keywords: Superstrings and Heterotic Strings; Conformal Field Models in String Theory; Superstring Vacua
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 02 Apr 2016 11:32
Last Modified: 02 Apr 2016 11:32
URI: http://eprints.iisc.ac.in/id/eprint/53476

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