N = 2 chiral bosons in superspace

In this work, the authors explore N=2 chiral bosons in (2, 2), (2, 0), and (0, 2) superspaces, They start with a manifestly covariant (2, 2) description in the Ogievetsky-Sokatchev geometric approach and then, by fixing gauges with respect to local Siegel's transformations, obtain previously unknown (2,0) and (0,2) actions. The anomalous N=2 Feigin-Fuchs term in a (2,0) superfield form is presented. We introduce a Liouville representation for the Feigin-Fuchs term-modified N=0, N=1, and N=2 chiral bosons, thus demonstrating the relevance of these systems to the two-dimensional (super)gravity and non-critical (super)string theories. 25 refs