学術雑誌論文 Lie algebra lattices and strings on T-folds

Satoh, Yuji  ,  Sugawara, Yuji

2017 ( 2 )  , p.24 , 2017-02 , Springer
ISSN:1029-8479
NII書誌ID(NCID):AA1188279X
内容記述
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, 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.
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