Skip to main content

Part of the book series: Springer Theses ((Springer Theses))

  • 263 Accesses

Abstract

In the previous chapter, we investigated the general structure of the space of chiral covariant lattice models by classifying the right-mover lattices \((\varGamma _{14})_\text {R}\). We observed that only 19 right-mover lattices lead to models with \(\varvec{\mathcal {N}} = 1\) spacetime supersymmetry, and that some of them arise in certain \(Z_N\) orbifold compactifications. In this chapter, we discuss explicit models belonging to two of these 19 classes of covariant lattice models, one class corresponding to \(Z_3\) orbifolds and the other to \(Z_6\) orbifolds.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Beye, F., Kobayashi, T., Kuwakino, S.: Three-generation Asymmetric orbifold models from heterotic string theory. JHEP 1401, 013 (2014). doi:10.1007/JHEP01(2014)013

    Article  ADS  Google Scholar 

  2. Grimus, W., Ludl, P.O.: Principal series of finite subgroups of SU(3). J. Phys. A43, 445,209 (2010). doi:10.1088/1751-8113/43/44/445209

  3. Grimus, W., Ludl, P.O.: Finite flavour groups of fermions. J.Phys. A45, 233,001 (2012). doi:10.1088/1751-8113/45/23/233001

  4. Grimus, W., Ludl, P.O.: On the characterization of the SU(3)-subgroups of type C and D. J. Phys. A47(7), 075,202 (2014). doi:10.1088/1751-8113/47/7/075202

  5. Hagedorn, C., Meroni, A., Vitale, L.: Mixing patterns from the groups \(\Sigma (n\phi )\). J. Phys. A47, 055,201 (2014). doi:10.1088/1751-8113/47/5/055201

  6. Ludl, P.O.: Comments on the classification of the finite subgroups of SU(3). J. Phys. A44, 255,204 (2011). doi:10.1088/1751-8113/45/6/069502, 10.1088/1751-8113/44/25/255204

  7. Narain, K.S., Sarmadi, M.H., Vafa, C.: Asymmetric Orbifolds. Nucl. Phys. B288, 551 (1987). doi:10.1016/0550-3213(87)90228-8

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Florian Beye .

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer Science+Business Media Singapore

About this chapter

Cite this chapter

Beye, F. (2017). Model Building. In: Chiral Four-Dimensional Heterotic String Vacua from Covariant Lattices. Springer Theses. Springer, Singapore. https://doi.org/10.1007/978-981-10-0804-7_3

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-0804-7_3

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-0802-3

  • Online ISBN: 978-981-10-0804-7

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

Publish with us

Policies and ethics