Spectra of heterotic strings on orbifolds

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We obtain the spectrum of heterotic strings compactified on orbifolds, focusing on its algebraic structure. Affine Lie algebra provides its current algebra and representations. In particular, the twisted spectrum and the Abelian charge are understood. A twisted version of algebra is used in the homomorphism from the orbifold action to the group action. The relation between the conformal weight and the mass gives a useful rule.

Original languageEnglish
Pages (from-to)194-214
Number of pages21
JournalNuclear Physics, Section B
Issue number1-3
StatePublished - 28 Feb 2005

Bibliographical note

Funding Information:
The author is grateful to Jihn E. Kim for his valuable input. This work is supported in part by the KOSEF ABRL Grant No. R14-2003-012-01001-0 and the BK21 program of the Korean Ministry of Education.


  • Affine Lie algebra
  • Heterotic string
  • Kac-Moody algebra
  • Orbifold
  • Twisted algebra


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