期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 2, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP02(2017)024
关键词
Conformal Field Models in String Theory; String Duality; Superstring Vacua; Superstrings and Heterotic Strings
资金
- JSPS [24540248]
- Japan-Hungary Research Cooperative Program from Japan Society for the Promotion of Science (JSPS)
- Grants-in-Aid for Scientific Research [24540248] Funding Source: KAKEN
We 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, A(1); D-2r; E-7; E-8, 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 E-8 x E-8 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.
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