Skip to main content
SpringerLink
Log in

The web of D-branes at singularities in compact Calabi-Yau manifolds

  • Published:
Journal of High Energy Physics Aims and scope Submit manuscript

Abstract

We present novel continuous supersymmetric transitions which take place among different chiral configurations of D3/D7 branes at singularities in the context of type IIB Calabi-Yau compactifications. We find that distinct local models which admit a consistent global embedding can actually be connected to each other along flat directions by means of transitions of bulk-to-flavour branes. This has interesting interpretations in terms of brane recombination/splitting and brane/anti-brane creation/annihilation. These transitions give rise to a large web of quiver gauge theories parametrised by splitting/recombination modes of bulk branes which are not present in the non-compact case. We illustrate our results in concrete global embeddings of chiral models at a dP0 singularity.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. B.R. Greene, String theory on Calabi-Yau manifolds, hep-th/9702155 [INSPIRE].

  2. L.E. Ibáñez, H.P. Nilles and F. Quevedo, Reducing the rank of the gauge group in orbifold compactifications of the heterotic string, Phys. Lett. B 192 (1987) 332 [INSPIRE].

    ADS  Google Scholar 

  3. A. Font, L.E. Ibáñez, H.P. Nilles and F. Quevedo, Degenerate orbifolds, Nucl. Phys. B 307 (1988) 109 [Erratum ibid. B 310 (1988) 764] [INSPIRE].

    Article  ADS  Google Scholar 

  4. S. Kachru and E. Silverstein, Chirality changing phase transitions in 4D string vacua, Nucl. Phys. B 504 (1997) 272 [hep-th/9704185] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  5. M.R. Douglas and C.-G. Zhou, Chirality change in string theory, JHEP 06 (2004) 014 [hep-th/0403018] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  6. A.M. Uranga, Local models for intersecting brane worlds, JHEP 12 (2002) 058 [hep-th/0208014] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  7. M. Cicoli, C. Mayrhofer and R. Valandro, Moduli stabilisation for chiral global models, JHEP 02 (2012) 062 [arXiv:1110.3333] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  8. M. Cicoli, S. Krippendorf, C. Mayrhofer, F. Quevedo and R. Valandro, D-branes at del Pezzo singularities: global embedding and moduli stabilisation, JHEP 09 (2012) 019 [arXiv:1206.5237] [INSPIRE].

    Article  ADS  Google Scholar 

  9. M. Cicoli, S. Krippendorf, C. Mayrhofer, F. Quevedo and R. Valandro, D3/D7 branes at singularities: constraints from global embedding and moduli stabilisation, arXiv:1304.0022 [INSPIRE].

  10. D.-E. Diaconescu and J. Gomis, Fractional branes and boundary states in orbifold theories, JHEP 10 (2000) 001 [hep-th/9906242] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  11. M.R. Douglas, B. Fiol and C. Romelsberger, The spectrum of BPS branes on a noncompact Calabi-Yau, JHEP 09 (2005) 057 [hep-th/0003263] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  12. M.R. Douglas, Branes within branes, hep-th/9512077 [INSPIRE].

  13. B. Feng, S. Franco, A. Hanany and Y.-H. He, UnHiggsing the del Pezzo, JHEP 08 (2003) 058 [hep-th/0209228] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  14. A. Hanany and A. Iqbal, Quiver theories from D6 branes via mirror symmetry, JHEP 04 (2002) 009 [hep-th/0108137] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  15. P.S. Aspinwall, D-branes on Calabi-Yau manifolds, hep-th/0403166 [INSPIRE].

  16. M.R. Douglas, D-branes, categories and N = 1 supersymmetry, J. Math. Phys. 42 (2001) 2818 [hep-th/0011017] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. M.R. Douglas, B. Fiol and C. Romelsberger, Stability and BPS branes, JHEP 09 (2005) 006 [hep-th/0002037] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  18. D.R. Morrison and N. Seiberg, Extremal transitions and five-dimensional supersymmetric field theories, Nucl. Phys. B 483 (1997) 229 [hep-th/9609070] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  19. M.R. Douglas, S.H. Katz and C. Vafa, Small instantons, Del Pezzo surfaces and type-I-prime theory, Nucl. Phys. B 497 (1997) 155 [hep-th/9609071] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  20. K.A. Intriligator, D.R. Morrison and N. Seiberg, Five-dimensional supersymmetric gauge theories and degenerations of Calabi-Yau spaces, Nucl. Phys. B 497 (1997) 56 [hep-th/9702198] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  21. P.S. Aspinwall and I.V. Melnikov, D-branes on vanishing del Pezzo surfaces, JHEP 12 (2004) 042 [hep-th/0405134] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  22. L. Martucci, D-branes on general N = 1 backgrounds: superpotentials and D-terms, JHEP 06 (2006) 033 [hep-th/0602129] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  23. P. Koerber and L. Martucci, Deformations of calibrated D-branes in flux generalized complex manifolds, JHEP 12 (2006) 062 [hep-th/0610044] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  24. R. Minasian and G.W. Moore, K theory and Ramond-Ramond charge, JHEP 11 (1997) 002 [hep-th/9710230] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  25. D.S. Freed and E. Witten, Anomalies in string theory with D-branes, Asian J. Math 3 (1999) 819 [hep-th/9907189] [INSPIRE].

    MathSciNet  MATH  Google Scholar 

  26. M. Cicoli, M. Kreuzer and C. Mayrhofer, Toric K3-fibred Calabi-Yau manifolds with del Pezzo divisors for string compactifications, JHEP 02 (2012) 002 [arXiv:1107.0383] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  27. B. Feng, A. Hanany, Y.-H. He and A.M. Uranga, Toric duality as Seiberg duality and brane diamonds, JHEP 12 (2001) 035 [hep-th/0109063] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  28. F. Quevedo, Lectures on string/brane cosmology, Class. Quant. Grav. 19 (2002) 5721 [hep-th/0210292] [INSPIRE].

    Article  MathSciNet  MATH  Google Scholar 

  29. L. McAllister and E. Silverstein, String cosmology: a review, Gen. Rel. Grav. 40 (2008) 565 [arXiv:0710.2951] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  30. M. Cicoli and F. Quevedo, String moduli inflation: an overview, Class. Quant. Grav. 28 (2011) 204001 [arXiv:1108.2659] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  31. C. Burgess and L. McAllister, Challenges for string cosmology, Class. Quant. Grav. 28 (2011) 204002 [arXiv:1108.2660] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  32. A. Collinucci, New F-theory lifts, JHEP 08 (2009) 076 [arXiv:0812.0175] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  33. A. Collinucci, New F-theory lifts. II. Permutation orientifolds and enhanced singularities, JHEP 04 (2010) 076 [arXiv:0906.0003] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  34. R. Blumenhagen, T.W. Grimm, B. Jurke and T. Weigand, F-theory uplifts and GUTs, JHEP 09 (2009) 053 [arXiv:0906.0013] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  35. G. Aldazabal, L.E. Ibáñez, F. Quevedo and A. Uranga, D-branes at singularities: a bottom up approach to the string embedding of the Standard Model, JHEP 08 (2000) 002 [hep-th/0005067] [INSPIRE].

    Article  ADS  Google Scholar 

  36. V. Balasubramanian, P. Berglund, V. Braun and I. Garcia-Etxebarria, Global embeddings for branes at toric singularities, JHEP 10 (2012) 132 [arXiv:1201.5379] [INSPIRE].

    Article  ADS  Google Scholar 

  37. M. Bianchi, A. Collinucci and L. Martucci, Magnetized E3-brane instantons in F-theory, JHEP 12 (2011) 045 [arXiv:1107.3732] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  38. A.P. Braun, A. Collinucci and R. Valandro, G-flux in F-theory and algebraic cycles, Nucl. Phys. B 856 (2012) 129 [arXiv:1107.5337] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  39. J. Louis, M. Rummel, R. Valandro and A. Westphal, Building an explicit de Sitter, JHEP 10 (2012) 163 [arXiv:1208.3208] [INSPIRE].

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Fisica e Astronomia, Università di Bologna, via Irnerio 46, 40126, Bologna, Italy

    Michele Cicoli

  2. INFN, Sezione di Bologna, Bologna, Italy

    Michele Cicoli

  3. ICTP, Strada Costiera 11, Trieste, 34014, Italy

    Michele Cicoli, Fernando Quevedo & Roberto Valandro

  4. Bethe Center for Theoretical Physics and Physikalisches Institut der Universität Bonn, Nussallee 12, 53115, Bonn, Germany

    Sven Krippendorf

  5. Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 19, 69120, Heidelberg, Germany

    Christoph Mayrhofer

  6. DAMTP, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WA, U.K

    Fernando Quevedo

  7. INFN, Sezione di Trieste, Trieste, Italy

    Roberto Valandro

Authors
  1. Michele Cicoli
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Sven Krippendorf
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Christoph Mayrhofer
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Fernando Quevedo
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Roberto Valandro
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sven Krippendorf.

Additional information

ArXiv ePrint: 1304.2771

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cicoli, M., Krippendorf, S., Mayrhofer, C. et al. The web of D-branes at singularities in compact Calabi-Yau manifolds. J. High Energ. Phys. 2013, 114 (2013). https://doi.org/10.1007/JHEP05(2013)114

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP05(2013)114

Keywords

Search

Navigation