Algebraic Renormalization of $N=2$ Supersymmetric Yang-Mills Chern-Simons Theory in the Wess-Zumino Gauge

Maggiore, Nicola; Piguet, Olivier; Ribordy, Mathieu

Algebraic Renormalization of $N=2$ Supersymmetric Yang-Mills Chern-Simons Theory in the Wess-Zumino Gauge

Authors

Maggiore, Nicola

Piguet, Olivier

Ribordy, Mathieu

Description

We consider a N=2 supersymmetric Yang-Mills-Chern-Simons model, coupled to matter, in the Wess-Zumino gauge. The theory is characterized by a superalgebra which displays two kinds of obstructions to the closure on the translations: field dependent gauge transformations, which give rise to an infinite algebra, and equations of motion. The aim is to put the formalism in a closed form, off-shell, without introducing auxiliary fields. In order to perform that, we collect all the symmetries of the model into a unique nilpotent Slavnov-Taylor operator. Furthermore, we prove the renormalizability of the model through the analysis of the cohomology arising from the generalized Slavnov-Taylor operator. In particular, we show that the model is free of anomaly.
17 pages, latex, no figures. Computation of the cohomology corrected. Appendix added