paper

Asymmetric Orbifolds, Noncommutative Geometry and Type I String Vacua

arXiv:hep-th/0003024 · doi:10.1016/S0550-3213(00)00270-4

Abstract

We investigate the D-brane contents of asymmetric orbifolds. Using T-duality we find that the consistent description of open strings in asymmetric orbifolds requires to turn on background gauge fields on the D-branes. We derive the corresponding noncommutative geometry arising on such D-branes with mixed Neumann-Dirichlet boundary conditions directly by applying an asymmetric rotation to open strings with pure Dirichlet or Neumann boundary conditions. As a concrete application of our results we construct asymmetric type I vacua requiring open strings with mixed boundary conditions for tadpole cancellation.

TeX, harvmac, 24 pages, 2 figures, v2: Clarifying remarks concerning the identification of commutative and non-commutative theories on asymmetric orbifolds; additional references

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