Self-dual spin-3 and 4 theories

Abstract

Self-dual spin-3 and 4 theories (Khoudeir, Adel; Aragone, Carlos)

Abstract

We present self-dual spin-3 and 4 actions using relevant dreibein fields. Since these actions start with a Chern-Simons like kinetic term (and therefore cannot be obtained through dimensional reduction) one might wonder whether they need the presence of auxiliary ghost-killings fields. It turns out that they must contain, also in this three dimensional case, auxiliary fields. Auxiliary scalars do not break self-duality: their free actions do not contain kinetic second order terms.