THE ACTIONS OF THE N=1 AND N=2 SPINNING STRINGS AS CONFORMAL SUPERGRAVITIES

Abstract

The action of the N=1 spinning string is shown to be the action of simple conformal supergravity in two dimensions. The constraints read R(P)=R(M)=R(D)=R(Q)=0 and τ^ντ^µϕ_ν= f_μν - ½ g_μν f = 0, where ϕ_μ and f_μ^m are the conformal gravitino and boost field. In the N=2 theory, a new gauge field is found which is needed to close the gauge algebra.