Higher Equations of Motion in N=2 Superconformal Liouville Field Theory

TL;DR

This paper derives an infinite set of higher equations of motion in N=2 superconformal Liouville theory, linking degenerate representations with classical field relations, advancing understanding of supersymmetric conformal field theories.

Contribution

It introduces a new hierarchy of equations of motion in N=2 superconformal Liouville theory, connecting degenerate representations with classical field relations.

Findings

Infinite set of higher equations of motion derived

Equations correspond to degenerate representations

Classical limit confirms the validity of equations

Abstract

We present an infinite set of higher equations of motion in N=2 supersymmetric Liouville field theory. They are in one to one correspondence with the degenerate representations and are enumerated in addition to the U(1) charge \omega by the positive integers m or (m,n) respectively. We check that in the classical limit these equations hold as relations among the classical fields.