Fermion Currents on Asymmetric Orbifolds

Details Fermion Currents on Asymmetric Orbifolds Fermion Currents on Asymmetric Orbifolds

1993-12-09

arxiv.org/abs/hep-th/9312066v1

Phys.Lett. B343 (1995) 128-132

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LaTeX, KOBE-TH-93-11

Scientific paper

10.1016/0370-2693(94)01462-L

We study whether orbifold models are equivalently rewritten into torus models in the case of fermionic string theories. It is pointed out that symmetric orbifold models cannot be rewritten into torus models in the case of fermionic string theories because of the absence of twist-untwist intertwining currents on the orbifold models. We present a list of current algebras on asymmetric $Z_N$-orbifold models of type II superstring theories with inner automorphisms of Lie algebra lattices of the $A_n$ series. It turns out that whether an asymmetric orbifold model is rewritten into a torus model depends on the specific choice of a momentum lattice and an inner automorphism of the lattice.

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