• DOI:10.1088/1126-6708/2008/12/007
• Corpus ID: 15637143

D-Branes in Orientifolds and Orbifolds and Kasparov KK-Theory

@article{GarcaCompen2008DBranesIO,
  title={D-Branes in Orientifolds and Orbifolds and Kasparov KK-Theory},
  author={Hugo Garc{\'i}a-Compe{\'a}n and W. Herrera-Su{\'a}rez and Benjam{\'i}n A. Itz{\'a}‐Ortiz and Oscar Loaiza-Brito},
  journal={Journal of High Energy Physics},
  year={2008},
  volume={2008},
  pages={007-007}
}

• H. García-Compeán, W. Herrera-Suárez, +1 author O. Loaiza-Brito
• Published 24 September 2008
• Mathematics
• Journal of High Energy Physics

A classification of D-branes in Type IIB Op− orientifolds and orbifolds in terms of Real and equivariant KK-groups is given. We classify D-branes intersecting orientifold planes from which are recovered some special limits such as the spectrum for D-branes on top of Type I Op− orientifold and the bivariant classification of Type I D-branes. The gauge group and transformation properties of the low energy effective field theory living in the corresponding unstable D-brane system are computed by extensive use of Clifford algebras. Some speculations about the existence of other versions of KK-groups, based on physical insights, are proposed. In the orbifold case, some known results concerning D-branes intersecting orbifolds are reproduced and generalized. Finally, the gauge theory of unstable systems in these orbifolds is recovered.