English

Parity Conservation in Supersymmetric Vector-Like Theories

High Energy Physics - Theory 2016-08-25 v2

Abstract

We show that parity is conserved in vector-like supersymmetric theories, such as supersymmetric QCD with massive quarks with no cubic couplings among chiral multiplets, based on fermionic path-integrals, originally developed by Vafa and Witten. We also look into the effect of supersymmetric breaking through gluino masses, and see that the parity-conservation is intact also in this case. Our conclusion is valid, when only bosonic parity-breaking observable terms are considered in path-integrals like the original Vafa-Witten formulation.

Keywords

Cite

@article{arxiv.hep-th/9804162,
  title  = {Parity Conservation in Supersymmetric Vector-Like Theories},
  author = {Hitoshi Nishino},
  journal= {arXiv preprint arXiv:hep-th/9804162},
  year   = {2016}
}

Comments

14 pages, latex, no figures; replaced with corrections of exponent in old eq.(2.8), misleading expressions in (3.19), comments on fermionic parity-breaking terms, and some references added

R2 v1 2026-07-22T16:10:11.278Z