On the construction of asymmetric orbifold models

Kenichiro Aoki, Eric D'Hoker, D. H. Phong

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)132-168
Number of pages37
JournalNuclear Physics B
Volume695
Issue number1-2
DOIs
Publication statusPublished - 2004 Sep 6

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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