Abstract
In this paper we study compactifications of the \( \mathcal{N} \) = 2 heterotic E8× E8 string on (K3 × T2)/ℤ3 with various gauge backgrounds and calculate the topological couplings in the effective supergravity action that arise from one-loop amplitudes. We then identify candidates for dual type IIA compactifications on Calabi-Yau threefolds and compare the heterotic results with the corresponding topological string amplitudes. We find that the dual Calabi-Yau geometries are K3 fibrations that are also genus one fibered with three- sections. Moreover, we show that the intersection form on the polarization lattice of the K3 fibration has to be three times the intersection form on the Narain lattice Γ1,1.
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Banlaki, A., Chattopadhyaya, A., Kidambi, A. et al. Heterotic strings on (K3 × T2)/ℤ3 and their dual Calabi-Yau threefolds. J. High Energ. Phys. 2020, 203 (2020). https://doi.org/10.1007/JHEP04(2020)203
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DOI: https://doi.org/10.1007/JHEP04(2020)203