Perturbative linearization of supersymmetric Yang-Mills theory

Sudarshan Ananth, Olaf Lechtenfeld, Hannes Malcha, Hermann Nicolai, Chetan Pandey, Saurabh Pant
2020 Journal of High Energy Physics  
Supersymmetric gauge theories are characterized by the existence of a transformation of the bosonic fields (Nicolai map) such that the Jacobi determinant of the transformation equals the product of the Matthews-Salam-Seiler and Faddeev-Popov determinants. This transformation had been worked out to second order in the coupling constant. In this paper, we extend this result (and the framework itself ) to third order in the coupling constant. A diagrammatic approach in terms of tree diagrams,
more » ... tree diagrams, aiming to extend this map to arbitrary orders, is outlined. This formalism bypasses entirely the use of anti-commuting variables, as well as issues concerning the (non-)existence of off-shell formulations for these theories. It thus offers a fresh perspective on supersymmetric gauge theories and, in particular, the ubiquitous $$ \mathcal{N} $$ N = 4 theory.
doi:10.1007/jhep10(2020)199 fatcat:pnwnrdfdy5dhro77cqrfs56yjq