Abstract
We develop a superfield formulation of N = 4 supersymmetric Yang-Mills theory with the rigid central charge in USp(4) harmonic superspace. Component formulation of this theory was given by Sohnius, Stelle and West [1] but its superfield formulation has not been constructed so far. We construct the superfield action, corresponding to this model, and show that it reproduces the component action from [1].
Similar content being viewed by others
References
M. F. Sohnius, K. S. Stelle, and P. C. West, “Dimensional reduction by legendre transformation generates off-shell supersymmetric Yang-Mills theories,” Nucl. Phys. B 173, 127 (1980).
L. Brink, J. H. Schwarz, and J. Scherk, “Supersymmetric Yang-Mills theories,” Nucl. Phys. B 121, 77 (1977).
M. F. Sohnius, “Bianchi identities for supersymmetric Gauge theories,” Nucl. Phys. B 136, 461–474 (1978).
A. S. Galperin, E. A. Ivanov, V. I. Ogievetsky, and E. S. Sokatchev, Harmonic Superspace (Cambridge University Press, Cambridge, 2001).
M. F. Sohnius, “Supersymmetry and central charges,” Nucl.Phys. B 138, 109–121 (1978).
I. Gaida, “Extended supersymmetry with gauged central charge,” Phys. Lett. B 373, 89–93 (1996); A. Hindawi, B. A. Ovrut, and D. Waldram, “Vectortensor multiplet in N = 2 superspace with central charge,” Phys. Lett. B 392, 85–92 (1997).
N. Dragon and S. M. Kuzenko, U. Theis, The Vectortensor multiplet in harmonic super-space,” Eur. Phys. J. C 4, 717–721 (1998); E. Ivanov and E. Sokatchev, “On nonlinear superfield versions of the vector tensor multiplet,” Phys. Lett. B 429, 35–47 (1998); N. Dragon, E. Ivanov, S. Kuzenko, and E. Sokatchev, U. Theis, N = 2 rigid supersymmetry with gauged central charge,” Nucl. Phys. B 538, 411–450 (1999).
J. Saito, “Superspace formulation of N = 4 super Yang-Mills theory with a central charge,” e-Print: hep-th/0512226.
I. L. Buchbinder, O. Lechtenfeld, and I. B. Samsonov, “N = 4 superparticle and super Yang-Mills theory in USp(4) harmonic superspace,” Nucl. Phys. B 802, 208–246 (2008).
E. Ivanov, S. Kalitzin, N. Ai Viet, and V. Ogievetsky, “Harmonic superspaces of extended supersymmetry. The calculus of harmonic variables,” J. Phys. A 18, 3433 (1985).
Author information
Authors and Affiliations
Corresponding author
Additional information
The article is published in the original.
Rights and permissions
About this article
Cite this article
Buchbinder, I.L., Pletnev, N.G. Harmonic superfield action for \(\mathcal{N}\) = 4 SYM theory with central charge. Phys. Part. Nuclei Lett. 11, 824–829 (2014). https://doi.org/10.1134/S154747711407005X
Published:
Issue Date:
DOI: https://doi.org/10.1134/S154747711407005X