Abstract
We consider ℤN orbifolds of Type-II compactifications to four and six dimensions on several Calabi-Yau manifolds in the orbifold limit with the aim to compute the entanglement entropy. The spectrum can contain tachyons in the doubly-twisted sectors which can lead to new infrared divergences for the partition function that are not present in the orbifolds of the uncompactified ten-dimensional theory. We show that all tachyonic contributions in these models admit a resummation and analytic continuation that yields finite entropy in the physical region 0 < N ≤ 1 just as in ten dimensions.
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Acknowledgments
We would like to thank Jeffrey A. Harvey for useful discussions. UM thanks the following organizations for their hospitality during the progress of this work: Simons Center for Geometry and Physics, Stony Brook University (during the 2023 Simons Physics Summer Workshop), the Institute for Advanced Study, Princeton (during PiTP 2023), the University of Wisconsin-Madison and ETH Zürich.
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ArXiv ePrint: 2310.13735
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Dabholkar, A., Moitra, U. Entanglement entropy in string compactifications. J. High Energ. Phys. 2024, 209 (2024). https://doi.org/10.1007/JHEP06(2024)209
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DOI: https://doi.org/10.1007/JHEP06(2024)209