How to superize Liouville equation

Abstract

So far, there are described in the literature two ways to superize the Liouville equation: for a scalar field (for $N\le 4$) 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.

References in corpus (2)

• Lie superalgebras of string theories
• On anomalies in classical dynamical systems

Cited by in corpus (2)

• On anomalies in classical dynamical systems
• On homogenization of space-time dependent and degenerate random flows II