Book contents
- Frontmatter
- Contents
- Preface
- 1 The Standard Model and beyond
- 2 Supersymmetry
- 3 Introduction to string theory: the bosonic string
- 4 Superstrings
- 5 Toroidal compactification of superstrings
- 6 Branes and string duality
- 7 Calabi–Yau compactification of heterotic superstrings
- 8 Heterotic string orbifolds and other exact CFT constructions
- 9 Heterotic string compactifications: effective action
- 10 Type IIA orientifolds: intersecting brane worlds
- 11 Type IIB orientifolds
- 12 Type II compactifications: effective action
- 13 String instantons and effective field theory
- 14 Flux compatifications and moduli stabilization
- 15 Moduli stabilization and supersymmetry breaking in string theory
- 16 Further phenomenological properties. Strings and cosmology
- 17 The space of string vacua
- Appendix A Modular functions
- Appendix B Some topological tools
- Appendix C Spectrum and charges of a semi-realistic Z3 heterotic orbifold
- Appendix D Computation of RR tadpoles
- Appendix E CFT toolkit
- Bibliography
- References
- Index
10 - Type IIA orientifolds: intersecting brane worlds
Published online by Cambridge University Press: 05 March 2012
- Frontmatter
- Contents
- Preface
- 1 The Standard Model and beyond
- 2 Supersymmetry
- 3 Introduction to string theory: the bosonic string
- 4 Superstrings
- 5 Toroidal compactification of superstrings
- 6 Branes and string duality
- 7 Calabi–Yau compactification of heterotic superstrings
- 8 Heterotic string orbifolds and other exact CFT constructions
- 9 Heterotic string compactifications: effective action
- 10 Type IIA orientifolds: intersecting brane worlds
- 11 Type IIB orientifolds
- 12 Type II compactifications: effective action
- 13 String instantons and effective field theory
- 14 Flux compatifications and moduli stabilization
- 15 Moduli stabilization and supersymmetry breaking in string theory
- 16 Further phenomenological properties. Strings and cosmology
- 17 The space of string vacua
- Appendix A Modular functions
- Appendix B Some topological tools
- Appendix C Spectrum and charges of a semi-realistic Z3 heterotic orbifold
- Appendix D Computation of RR tadpoles
- Appendix E CFT toolkit
- Bibliography
- References
- Index
Summary
We now move to a different corner in the pentagon in Figure 7.1 and turn to the construction of type IIA orientifold compactifications down to four dimensions. The use of D-branes and their properties is crucial in these constructions, and provides a beautiful geometrical picture of the resulting 4d theories; gauge symmetries arise from overlapping D-branes, while charged chiral fermions arise from intersections among D-branes. The models are dubbed intersecting brane models and provide simple realizations of particle physics models in string theory.
Type II on CY and orientifolding
We now step back to Section 7.2 and consider the 4d compactification of type II theories on CY manifolds. They lead to 4d N =2 theories and are not suitable for particle physics model building, although some of their properties, like mirror symmetry, permeate the analysis of more realistic setups. We describe the introduction of orientifold projections truncating the supersymmetry to 4d N =1. These CY orientifolds provide the closed string sector of the compactifications in this and the next chapter, which contain sectors of Dbranes (to achieve RR tadpole cancellation) realizing non-trivial chiral gauge theories on their worldvolume.
Calabi–Yau compactification of type II string theories
Recall the general properties of KK compactification on CY manifolds from Section 7.2. Type IIA and IIB theories have two 10d gravitinos, so their CY compactifications contain two 4d gravitinos and correspond to 4d N =2 supersymmetric vacua.
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- Information
- String Theory and Particle PhysicsAn Introduction to String Phenomenology, pp. 298 - 339Publisher: Cambridge University PressPrint publication year: 2012