Abstract
We review the background field method for general N=2 super Yang-Mills theories formulated in the N=2 harmonic superspace. The covariant harmonic supergraph technique is then applied to rigorously prove the N=2 nonrenormalization theorem as well as to compute the holomorphic low-energy action for the N=2 SU(2) pure super Yang-Mills theory and the leading non-holomorphic low-energy correction for N=4 SU(2) super Yang-Mills theory.
Preview
Unable to display preview. Download preview PDF.
References
Buchbinder, I., Buchbinder, E., Ivanov, E., Kuzenko, S., Ovrut, B. (1997): Effective action of the N=2 Maxwell multiplet in harmonic superspace. Phys. Lett. B 412, 309–319
Buchbinder, E., Buchbinder, I., Ivanov, E., Kuzenko, S. (1998a): Central charge as the origin of holomorphic effective action in N=gauge theory. Mod. Phys. Lett. A 13, 1071–1082
Buchbinder, I., Buchbinder, E., Kuzenko, S., Ovrut, B. (1998b): The background field method for N=2 super Yang-Mills theories in harmonic superspace. Phys. Lett. B 417, 61–71
Buchbinder, I., Kuzenko, S., Ovrut, B. (1998c): On the D=4, N=2 non-renormalization theorem. Phys. Lett. B 433, 335–345
Buchbinder, I., Kuzenko, S. (1998d): Comments on the background field method in harmonic superspace: non-holomorphic corrections in N=4 SYM. Mod. Phys. Lett. A 13, 1623–1635
Dine, M., Seiberg, N. (1997): Comments on higher derivative operators in some SUSY field theories. Phys. Lett. B 409, 239–247
Galperin, A., Ivanov, E., Kalitzin, S., Ogievetsky, V., Sokatchev, E. (1984): Unconstrained N=2 matter, Yang-Mills and supergravity theories in harmonic superspace. Class. Quant. Grav. 1, 469–498
Galperin, A., Ivanov, E., Ogievetsky, V., Sokatchev, E. (1985a): Harmonic supergraphs: Green functions. Class. Quant. Grav. 2, 601–616
Galperin, A., Ivanov, E., Ogievetsky, V., Sokatchev, E. (1985b): Harmonic supergraphs: Feynman rules and examples. Class. Quant. Grav. 2, 617–630
Galperin, A., Ky, N. A., Sokatchev, E. (1987a): N=2 supergravity in superspace: solution to the constraints and the invariant action. Class. Quant. Grav. 4, 1235–1253
Galperin, A., Ivanov, E., Ogievetsky, V., Sokatchev, E. (1987b): N=2 supergravity in superspace: different versions and matter couplings. Class. Quant. Grav. 4, 1255–1265
Galperin, A., Ky, N. A., Sokatchev, E. (1987c): Coinciding harmonic singularities in harmonic supergraphs. Mod. Phys. Lett. A 2, 33–39
Gonzalez, F., Roček, M. (1998): Nonholomorphic N=2 terms in N=4 SYM: one-loop calculation in N=2 superspace. hep-th/9804010
Grimm, R., Sohnius, M., Wess, J. (1978): Extended supersymmetry and gauge theories. Nucl. Phys. B 133, 275–284
Grisaru, M. T., Roček, M., Siegel, W. (1979): Improved methods for supergraphs. Nucl. Phys. B 159, 429–450
Howe, P. S., Stelle, K. S., Townsend, P. K. (1984): Miraculous ultraviolet cancellations in supersymmetry made manifest. Nucl. Phys. B 236, 125–166
Lindström, U., Roček, M. (1990): N=2 super Yang-Mills theory in projective superspace. Commun. Math. Phys. 128, 191–196
Periwal, V., von Unge, R. (1998): Accelerating D-branes. Phys. Lett. B 430, 71–76
Seiberg, N. (1988): Supersymmetry and nonperturbative beta functions. Phys. Lett. B 206, 75–80
Zupnik, B. M. (1987): The action of the supersymmetric N=2 gauge theory in harmonic superspace. Phys. Lett. B 183, 175–176
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1999 Springer-Verlag
About this paper
Cite this paper
Buchbinder, I., Kuzenko, S., Ovrut, B. (1999). Covariant harmonic supergraphity for N=2 super Yang-Mills theories. In: Wess, J., Ivanov, E.A. (eds) Supersymmetries and Quantum Symmetries. Lecture Notes in Physics, vol 524. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104584
Download citation
DOI: https://doi.org/10.1007/BFb0104584
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66004-0
Online ISBN: 978-3-540-48795-1
eBook Packages: Springer Book Archive