English

A tale of two SUSYs

High Energy Physics - Theory 2025-04-01 v1 Statistical Mechanics High Energy Physics - Lattice

Abstract

There are two approaches towards supersymmetry: The ``conventional approach'', in which the fields appear in the classical action and the ``stochastic approach'', in which they emerge upon introducing in the action the contribution of a certain determinant. The second approach relies, in particular, on the so-called Nicolai map. The relation between the two approaches hasn't been clarified and the subject of this contribution is to spell it out. In particular the interpretation proposed by Parisi and Sourlas has remained quite incomplete. The subject of this contribution is to spell out in what way the two approaches complement each other and how the second can provide insights for the first.

Cite

@article{arxiv.2503.23575,
  title  = {A tale of two SUSYs},
  author = {Stam Nicolis},
  journal= {arXiv preprint arXiv:2503.23575},
  year   = {2025}
}

Comments

10 pages, LaTeX. PoS style file and JHEP.bst for references. Contribution to the Proceedings of the Corfu Summer Institute 2024 "School and Workshops on Elementary Particle Physics and Gravity" (CORFU2024) 12 - 26 May, and 25 August - 27 September, 2024, Corfu, Greece

R2 v1 2026-06-28T22:39:45.954Z