Perturbative linearization of supersymmetric Yang-Mills theory

DOI10.1007/JHEP10(2020)199zbMATH Open1456.81418arXiv2005.12324OpenAlexW3094839527MaRDI QIDQ2657821

Author name not available (Why is that?)

Publication date: 14 March 2021

Published in: (Search for Journal in Brave)

Abstract: 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, 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 $mathcalN=,4$ theory.

Full work available at URL: https://arxiv.org/abs/2005.12324

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: Perturbative linearization of supersymmetric Yang-Mills theory

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2657821)