Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-02-17
Nucl.Phys. B695 (2004) 132-168
Physics
High Energy Physics
High Energy Physics - Theory
40 pages, no figures, typos corrected
Scientific paper
10.1016/j.nuclphysb.2004.06.038
Various asymmetric orbifold models based on chiral shifts and chiral reflections are investigated. Special attention is devoted to the consistency of the models with two fundamental principles for asymmetric orbifolds : modular invariance and the existence of a proper Hilbert space formulation for states and operators. The interplay between these two principles is non-trivial. It is shown, for example, that their simultaneous requirement forces the order of a chiral reflection to be 4, instead of the naive 2. A careful explicit construction is given of the associated one-loop partition functions. At higher loops, the partition functions of asymmetric orbifolds are built from the chiral blocks of associated symmetric orbifolds, whose pairings are determined by degenerations to one-loop.
Aoki Kenichiro
D'Hoker Eric
Phong Duong Hong
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