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D=4, N=1 orientifolds with vector structure

Matthias Klein, Raul Rabadan

Abstract

We construct compact type IIB orientifolds with discrete groups Z_4, Z_6, Z_6', Z_8, Z_12 and Z_12'. These models are N=1 supersymmetric in D=4 and have vector structure. The possibility of having vector structure in Z_N orientifolds with even N arises due to an alternative Omega-projection in the twisted sectors. Some of the models without vector structure are known to be inconsistent because of uncancelled tadpoles. We show that vector structure leads to a sign flip in the twisted Klein bottle contribution. As a consequence, all the tadpoles can be cancelled by introducing D9-branes and D5-branes.

D=4, N=1 orientifolds with vector structure

Abstract

We construct compact type IIB orientifolds with discrete groups Z_4, Z_6, Z_6', Z_8, Z_12 and Z_12'. These models are N=1 supersymmetric in D=4 and have vector structure. The possibility of having vector structure in Z_N orientifolds with even N arises due to an alternative Omega-projection in the twisted sectors. Some of the models without vector structure are known to be inconsistent because of uncancelled tadpoles. We show that vector structure leads to a sign flip in the twisted Klein bottle contribution. As a consequence, all the tadpoles can be cancelled by introducing D9-branes and D5-branes.

Paper Structure

This paper contains 17 sections, 65 equations, 2 figures, 12 tables.

Table of Contents

  1. Introduction
  2. Construction of the models
  3. Closed string spectrum
  4. Open string spectrum
  5. Tadpoles
  6. A physical interpretation of the signs $\epsilon$ and $\alpha$
  7. Description of the models
  8. ${\mathbf Z}_4$, $v={1\over4}(1,1,-2)$
  9. ${\mathbf Z}_6$, $v={1\over6}(1,1,-2)$
  10. ${\mathbf Z}_6'$, $v={1\over 6}(1,-3,2)$
  11. ${\mathbf Z}_8$, $v={1\over8}(1,3,-4)$
  12. ${\mathbf Z}_8'$, $v={1\over8}(1,-3,2)$
  13. ${\mathbf Z}_{12}$, $v={1\over{12}}(1,-5,4)$
  14. ${\mathbf Z}'_{12}$, $v={1\over{12}}(1,5,-6)$
  15. Conclusions
  16. ...and 2 more sections

Figures (2)

  • Figure 1: Quiver diagram of the ${\mathbf Z}_6$ orbifold with shift vector $v=\frac{1}{6}(1,1,-2)$
  • Figure 2: Quiver diagram (a) of the ${\mathbf Z}_4$ orbifold with shift vector $v=\frac{1}{4}(1,1,-2)$ and (b) of the corresponding orientifold with vector structure. The dotted line indicates the axis along which the $\Omega$-projection is performed.