SELF-DUAL SPIN-3 AND SPIN-4 THEORIES

We present self-dual spin-3 and 4 actions using relevant Dreibein fiel ds. Since these actions start with a Chern-Simons like kinetic term (a nd therefore cannot be obtained through dimensional reduction) one mig ht wonder whether they need the presence of auxiliary ghost-killing fi elds. It turns out that these actions must contain, even in this three dimensional case, auxiliary fields. Auxiliary scalars do not break se lf-duality since their free actions do not contain kinetic terms.