---
address:
- '$^\ast$Department d’Estructura i Constituents de la MatèriaUniversitat de Barcelona, Diagonal 647, E-08028 Barcelona, Catalonia, Spain'
- '$^\dagger$Uji Research CenterYukawa Institute for Theoretical PhysicsKyoto University, Uji 611, Japan'
author:
- 'Joaquim Gomis[^1][Electronic address: quim@ebubecm1.bitnet]{}and Hiroshi Suzuki[^2][JSPS Junior Scientist Fellow. Also at Department of Physics, Hiroshima University, Higashi-Hiroshima 724, Japan. Electronic address: suzuki@jpnrifp.bitnet]{}'
date: =
title: 'Covariant Currents in $N=2$ Super-Liouville Theory'
---

phyzzx =[92-4UB-ECM-PF 92/4]{}

[February 1992]{}

Introduction
============

The $N=2$ string or the two-dimensional $N=2$ supergravity introduced by Ademollo [*et al*]{} \[,,,,,,\] has critical dimension $d=2$ and there is no transverse degree of freedom. Very recently, it has been argued that the no-ghost theorem can be established \[\]. The $N=2$ subcritical strings or $N=2$ super-Liouville theory has also been analyzed. Distler, Hlousek, and Kawai \[\] noticed that the local ansatz for the Jacobian, that relates the interacting measure with the free measure, works for any kind of conformal matter or, in terms of strings, for an arbitrary number of space-time dimensions. All those special features of $N=2$ string suggest that this theory is a topological quantum field theory \[,\]. In a previous work \[\], we proved that critical and subcritical $N=2$ strings are topological field theories in 