Skip to main content
SpringerLink
Log in

Solutions of the generic non-compact Weyl equation

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

Abstract

In this paper, solutions of the generic non-compact Weyl equation are obtained. In particular, by identifying a suitable similarity transformation and introducing a non-trivial change of variables we are able to implement azimuthal dependence on the solutions of the diagonal non-compact Weyl equation derived in [1]. We also discuss some open questions related to the construction of infinite BPS monopole configurations.

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. A. Doikou and T. Ioannidou, The Non-compact Weyl equation, JHEP 04 (2011) 072 [arXiv:1012.5643] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  2. W. Nahm, The construction of all self-dual multimonopoles by the ADHM method, in Monopoles in quantum field theory, N.S. Craigie, P. Goddard and W. Nahm eds., World Scientific, Singapore (1982).

  3. N.S. Manton and P.M. Sutcliffe, Topological solitons, Cambridge Monographs on Mathematical Physics, Cambridge University Press, Cambridge U.K. (2004).

  4. A. Doikou and T. Ioannidou, Weyl equation and (Non)-commutative SU(n + 1) BPS monopoles, JHEP 08 (2010) 105 [arXiv:1005.5345] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  5. S. Rankin, SU(∞) and the large-N limit, Annals Phys. 218 (1992) 14 [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. A. Doikou and T. Ioannidou, BPS monopoles and open spin chains, J. Math. Phys. 52 (2011) 093508 [arXiv:1010.5076] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  7. N.J. Hitchin, Monopoles and geodesics, Commun. Math. Phys. 83 (1982) 579 [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. E. Floratos, J. Iliopoulos and G. Tiktopoulos, A note on SU(∞) classical Yang-Mills theory, Phys. Lett. B 217 (1989) 285 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  9. R. Ward, Linearization of the SU(∞) Nahm equations, Phys. Lett. B 234 (1990) 81 [INSPIRE].

    ADS  Google Scholar 

  10. H. Garcia-Compean and J.F. Plebanski, On the Weyl-Wigner-Moyal description of SU(∞) Nahm equations, Phys. Lett. A 234 (1997) 5 [hep-th/9612221] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Engineering Sciences, University of Patras, GR-26500, Patras, Greece

    Anastasia Doikou

  2. Department of Mathematics, Physics and Computational Sciences, Faculty of Engineering, Aristotle University of Thessaloniki, GR-54124, Thessaloniki, Greece

    Theodora Ioannidou

Authors
  1. Anastasia Doikou
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Theodora Ioannidou
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Anastasia Doikou.

Additional information

ArXiv ePrint: 1201.6135

Rights and permissions

Reprints and permissions

About this article

Cite this article

Doikou, A., Ioannidou, T. Solutions of the generic non-compact Weyl equation. J. High Energ. Phys. 2012, 141 (2012). https://doi.org/10.1007/JHEP04(2012)141

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP04(2012)141

Keywords

Search

Navigation