English

Superconformal interacting particles

High Energy Physics - Theory 2023-12-21 v2

Abstract

The free massless superparticle is reanalysed, in particular by performing the Gupta-Bleuler quantization, using the first and second class constraints of the model, and obtaining, as a result, the Weyl equation for the spinorial component of the chiral superfield. Then we construct a superconformal model of two interacting massless superparticles from the free case by the introduction of an invariant interaction. The interaction introduces an effective mass for each particle by modifying the structure of fermionic constraints, all becoming second class. The quantization of the model produces a bilocal chiral superfield. We also generalise the model by considering a system of superconformal interacting particles and its continuum limit.

Keywords

Cite

@article{arxiv.2312.01743,
  title  = {Superconformal interacting particles},
  author = {Roberto Casalbuoni and Daniele Dominici and Joaquim Gomis},
  journal= {arXiv preprint arXiv:2312.01743},
  year   = {2023}
}

Comments

Latex, 15 pages, revised version

R2 v1 2026-06-28T13:40:07.532Z