N=4 super-Yang-Mills in LHC superspace. Part I: Classical and quantum theory
Abstract
We present a formulation of the maximally supersymmetric N=4 gauge theory in Lorentz harmonic chiral (LHC) superspace. It is closely related to the twistor formulation of the theory but employs the simpler notion of Lorentz harmonic variables. They parametrize a two-sphere and allow us to handle efficiently infinite towers of higher-spin auxiliary fields defined on ordinary space-time. In this approach the chiral half of N=4 supersymmetry is manifest. The other half is realized non-linearly and the algebra closes on shell. We give a straightforward derivation of the Feynman rules in coordinate space. We show that the LHC formulation of the N=4 super-Yang-Mills theory is remarkably similar to the harmonic superspace formulation of the N=2 gauge and hypermultiplet matter theories. In the twin paper arXiv:1601.06804 we apply the LHC formalism to the study of the non-chiral multipoint correlation functions of the N=4 stress-tensor supermultiplet.
Keywords
Cite
@article{arxiv.1601.06803,
title = {N=4 super-Yang-Mills in LHC superspace. Part I: Classical and quantum theory},
author = {Dmitry Chicherin and Emery Sokatchev},
journal= {arXiv preprint arXiv:1601.06803},
year = {2017}
}
Comments
51 pages, 4 figures; v2: Appendix B on the propagators in momentum space added. A more detailed comparison with the twistor approach given in Appendix C