2021-07-25T16:17:39Zhttps://tsukuba.repo.nii.ac.jp/oaioai:tsukuba.repo.nii.ac.jp:000408842021-03-01T15:02:52ZLie algebra lattices and strings on T-folds佐藤, 勇二Satoh, YujiSugawara, YujiWe study the world-sheet conformal field theories for T-folds systematically based on the Lie algebra lattices representing the momenta of strings. The fixed point condition required for the T-duality twist restricts the possible Lie algebras. When the T-duality acts as a simple chiral reflection, one is left with the four cases, A1, D2r, E7, E8, among the simple simply-laced algebras. From the corresponding Englert-Neveu lattices, we construct the modular invariant partition functions for the T-fold CFTs in bosonic string theory. Similar construction is possible also by using Euclidean even self-dual lattices. We then apply our formulation to the T-folds in the E8 × E8 heterotic string theory. Incorporating non-trivial phases for the T-duality twist, we obtain, as simple examples, a class of modular invariant partition functions parametrized by three integers. Our construction includes the cases which are not reduced to the free fermion construction.journal articleSpringer2017-02application/pdfJournal of high energy physics22017241029-8479AA1188279Xhttps://tsukuba.repo.nii.ac.jp/record/40884/files/69.pdfeng10.1007/JHEP02(2017)024Open Access, © The Authors. Article funded by SCOAP3.This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.