Il Nuovo Cimento A (1965-1970)

, Volume 92, Issue 3, pp 282–288 | Cite as

Formulation of Kählerian nonlinear sigma-models by Killing potentials

  • S. Aoyama


We formulate nonlinearσ-models on Kähler manifolds by means of Killing potentials. Then gauging will become simple. The formulation will be useful for supersymmetrization in two dimensions.


12.40. - Models of strong interactions 


Si formulano modelli σ non lineari su varietà di Kähler utilizzando potenziali di Killing. In questo modo calibrare diventa semplice. La formulazione sarà utile per la simmetrizzazioneN=1 in due dimensioni.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. (1).
    M. Gell-Mann andM. Lévy:Nuovo Cimento,16, 705 (1960);V. L. Golo andA. M. Perelomof:Phys. Lett. B,79, 112 (1978);W. Eichenherr:Nucl. Phys. B,146, 215 (1978);A. D’Adda, M. Lüscher andP. Di Vecchia:Nucl. Phys. B,146, 63 (1978).CrossRefGoogle Scholar
  2. (2).
    S. Coleman, J. Wess andB. Zumino:Phys. Rev.,177, 2239 (1969);C. Callan, S. Coleman, J. Wess andB. Zumino:Phys. Rev.,177, 2247 (1969).MATHCrossRefADSGoogle Scholar
  3. (3).
    K. Meetz:J. Math. Phys. (N. Y.),10, 589 (1969);J. Honerkamp:Nucl. Phys. B,36, 130 (1972).MathSciNetCrossRefADSGoogle Scholar
  4. (4).
    B. Zumino:Phys. Lett. B,87, 203 (1979).CrossRefADSGoogle Scholar
  5. (5).
    J. Bagger andE. Witten:Phys. Lett. B,118, 103 (1982).MathSciNetCrossRefADSGoogle Scholar
  6. (*).
    An explicit construction of the Killing potentials can be seen in ref. (6).MathSciNetCrossRefADSGoogle Scholar
  7. (6).
    Y. Achman, S. Aoyama andJ. W. van Holten:Phys. Lett. B,150, 153 (1985);Nucl. Phys. B,258, 179 (1985).MathSciNetCrossRefADSGoogle Scholar
  8. (7).
    D. G. Boulware andL. S. Brown:Ann. Phys. (N. Y.),138, 392 (1982).MathSciNetCrossRefADSGoogle Scholar
  9. (8).
    J. W. van Holten:Z. Phys. C,27, 57 (1985).MathSciNetCrossRefADSGoogle Scholar
  10. (9).
    S. Aoyama:Nuovo Cimento A,57, 176 (1980).MathSciNetCrossRefADSGoogle Scholar
  11. (10).
    P. Di Vecchia andS. Ferrara:Nucl. Phys. B,130, 93 (1977).CrossRefADSGoogle Scholar

Copyright information

© Società Italiana di Fisica 1986

Authors and Affiliations

  • S. Aoyama
    • 1
  1. 1.Physics DepartmentUniversity of WuppertalWuppertal

Personalised recommendations