Perturbative linearization of supersymmetric Yang-Mills theory

authored by

Sudarshan Ananth, Olaf Lechtenfeld, Hannes Malcha, Hermann Nicolai, Chetan Pandey, Saurabh Pant

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 N = 4 theory.

Organisation(s)

Institut für Theoretische Physik
Riemann Center for Geometry and Physics

External Organisation(s)

Indian Institute of Science Education and Research Pune
Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)

Type

Artikel

Journal

Journal of high energy physics

Volume

2020

ISSN

1029-8479

Publication date

29.10.2020

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik

Electronic version(s)

https://doi.org/10.1007/JHEP10(2020)199 (Access: Offen)