Skip to main content
SpringerLink
Log in

Sigma model solitons and their moduli space metrics

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

We discuss the supersymmetric σ model and its soliton solutions in 2+1 dimensions. We classify supersymmetric maps and derive Bogomolny bounds. We also give the modified superalgebra and describe the metric on the parameter space of solitons.

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. Ward, R.S.: Slowly-moving lumps in theCP 1 model in (2+1) dimensions. Phys. Lett.158, 424 (1985)

    Google Scholar 

  2. Zakrzewski, W.J., Din, A.M.: The point-particle limit ofCP 1 skyrmions. Nucl. Phys. B253, 77 (1985)

    Google Scholar 

  3. Zakrzewski, W.J., Stokoe, I.: Z. Phys. C34, 491 (1987)

    Google Scholar 

  4. Atiyah, M.F., Hitchin, N.J.: Low energy scattering of non-abelian monopoles. Phys. Lett.107, 21 (1985)

    Google Scholar 

  5. Manton, N.S.: A remark in the scattering of BPs monopoles. Phys. Lett.110, 54 (1982)

    Google Scholar 

  6. Gibbons, G.W., Ruback, P.J.: Motion of extreme Reissner-Nordstrom black holes in the low-velocity limit. Phys. Rev. Lett.57, 1492 (1986)

    Google Scholar 

  7. Ruback, P.J.: Commun. Math. Phys.107, 93 (1986)

    Google Scholar 

  8. Zumino, B.: Supersymmetry and Kähler manifolds. Phys. Lett.87, 203 (1979)

    Google Scholar 

  9. Alvarez-Gaumé, L., Freedman, D.Z.: Commun. Math. Phys.80, 443 (1981)

    Google Scholar 

  10. Eells, J., Lemaire, L.: Bull. Lond. Math. Soc.10, 1 (1978)

    Google Scholar 

  11. Burstall, F.E., Rawnsley, J.H.: Stability of classical solutions of two-dimensional Grass-mannian models. Commun. Math. Phys.110, 311 (1987)

    Google Scholar 

  12. Killingback, T.: Commun. Math. Phys.100, 421 (1985)

    Google Scholar 

  13. Gracey, J.: On topological central charges and solitons. Phys. Lett.185, 104 (1987)

    Google Scholar 

  14. Hull, C.M., Witten, E.: Supersymmetric sigma models and the heterotic string. Phys. Lett.160, 398 (1985)

    Google Scholar 

  15. Howe, P.S., Sierra, G.: Two-dimensional supersymmetric nonlinear σ-models with torsion. Phys. Lett.148, 451 (1984)

    Google Scholar 

  16. Boucher, W.: Supersymmetric soitons. Phys. Lett.132, 88 (1983)

    Google Scholar 

  17. Haag, R., Sohnius, M.F., Lopuszanski, J.: All possible generators of supersymmetries of theS-matrix. Nucl. Phys. B88, 257 (1975)

    Google Scholar 

  18. Witten, E., Olive, D.: Supersymmetry algebras that include topological charges. Phys. Lett.78, 97 (1978)

    Google Scholar 

  19. Osborn, H.: Topological charges forN=4 supersymmetric gauge theories and monopoles of spin 1. Phys. Lett.83, 321 (1979)

    Google Scholar 

  20. Maison, D.: In: Supersymmetry and supergravity. Milewski, B. (ed.). Singapore: World Scientific 1983

    Google Scholar 

  21. Atiyah, M.F.: Private communication

  22. Kobayashi, S., Nomizu, K.: Vol. II. New York: Wiley

  23. Bowick, M.J., Rajeev, S.G.: String theory as the Kähler geometry of loop space. Phys. Rev. Lett.58, 535 (1987), (1158) E (1983)

    Google Scholar 

  24. Wu, Y.S., Zee, A.: Comments on the Hopf Lagrangian and fractional statistics of solitons. Phys. Lett.147, 325 (1984)

    Google Scholar 

Download references

Author information

Author notes

  1. P. J. Ruback

    Present address: DAMTP Cambridge, CB3 9EW, UK

Authors and Affiliations

  1. Laboratoire de Physique Théorique de l'Ecole Normale Supérieure, 24, rue Lhomond, F-75231, Paris Cedex 05, France

    P. J. Ruback

Authors
  1. P. J. Ruback
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by L. Alvarez-Gaumé

Laboratoratoire propre du Centre National de la Recherche Scientifique, associé á l'Ecole Normale Supérieure et à l'Université de Paris Sud

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ruback, P.J. Sigma model solitons and their moduli space metrics. Commun.Math. Phys. 116, 645–658 (1988). https://doi.org/10.1007/BF01224905

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01224905

Keywords

Search

Navigation