Seminarium Kosmologia i Fizyka Cząstek

On the occasion of my recent paper (S.Fedoruk,J.L., JHEP 02(2013) 128;arXiv:1211.4546 [hep-th]) about higher spin (HS) equations in the presence of constant EM field I shall present minireview about HS fields. I will recall firstly main historical developments, and further describe the approach based on the derivation of HS field equations from first-quantized particle actions on extended space-time with auxiliary coordinates. In such a way one describes the tower of all spins by one hyperfield on extended space-time. We shall several frameworks, in particular with auxiliary tensorial coordinates following from the use of so-called Maxwell symmetries. The problem of interacting HS field theories will be outlined. The relation of HS fields to(super)string theory and the incorporation of HS fields into holographic framework of AdS/CFT correspondence will be briefly discussed.