English

How to superize Liouville equation

High Energy Physics - Theory 2015-06-25 v1

Abstract

So far, there are described in the literature two ways to superize the Liouville equation: for a scalar field (for N4N\leq 4) and for a vector-valued field (analogs of the Leznov--Saveliev equations) for N=1. Both superizations are performed with the help of Neveu--Schwarz superalgebra. We consider another version of these superLiouville equations based on the Ramond superalgebra, their explicit solutions are given by Ivanov--Krivonos' scheme. Open problems are offered.

Cite

@article{arxiv.hep-th/0007256,
  title  = {How to superize Liouville equation},
  author = {Dimitry Leites},
  journal= {arXiv preprint arXiv:hep-th/0007256},
  year   = {2015}
}
R2 v1 2026-07-22T14:59:18.132Z