Summary
We derive an explicitly supersymmetric expression for the chiral anomaly of a supersymmetric Yang-Mills theory in two dimensions. For this we use the descent equations in constrained (1, 1)-superspace. The anomaly is polynomial in the vector superfield.
Riassunto
Si deriva una espressione esplicitamente supersimmetrica per l’anomalia chirale di una teoria supersimmetrica di Yang-Mills in due dimensioni. Per questo, si usano equazioni di discesa nel superspazio vincolato (1, 1). L’anomalia è polinomiale nel supercampo vettoriale.
Similar content being viewed by others
References
R. Garreis, M. Scholl andJ. Wess:Z. Phys. C,28, 623 (1985);E. Guadagnini, K. Konishi andM. Mintchev:Phys. Lett. B,157, 37 (1985).
N. K. Nielsen:Nucl. Phys. B,244, 499 (1984).
G. Girardi, R. Grimm andR. Stora:Phys. Lett. B,156, 203 (1985).
H. Itoyama, V. P. Nair andH. C. Ren:Nucl. Phys. B,262, 317 (1985);Phys. Lett. B,168, 78 (1986);E. Guadagnini andM. Mintchev:Nucl. Phys. B,269, 543 (1986).
R. Stora:Cargèse Lectures 1983, edited byH. Lehmann, NATO ASI series (Plenum Press, New York, N.Y., 1984);B. Zumino:Les Houches Lectures 1983, edited byB. S. De Witt andR. Stora (North Holland, Amsterdam, 1984).
J. Wess andB. Zumino:Phys. Lett. B,37, 95 (1971).
J. Wess:Supersymmetry/Supergravity in Concepts and Trends in Particle Physics, edited byH. Latal andH. Mitter (Springer-Verlag, Berlin, Heidelberg, 1987).
B. Zumino:Nucl. Phys. B,253, 477 (1985).
J. Wess andJ. Bagger:Supersymmetry and Supergravity (Princeton University Press, Princeton, N. J., 1983).
Author information
Authors and Affiliations
Additional information
They may differ by so-called normal terms which refer to a redefinition of the current or to total derivatives.
Rights and permissions
About this article
Cite this article
Altevogt, P., Rieger, B. Chiral anomalies inN=1 supersymmetric Yang-Mills theories ind=2 dimensions. Nuov Cim A 97, 451–459 (1987). https://doi.org/10.1007/BF02734469
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02734469