Higher Rank Conformal Fields in the Symmetric Generalized Space-Time
arXiv:hep-th/0304020
Abstract
We study various invariant field equations corresponding to rank tensor products of the Fock (singleton) representation of . These equations are shown to describe localization on ``branes'' of different dimensions embedded into the generalized space-time $\M_M$ with matrix (i.e., ``central charge'') coordinates. The case of bilinear tensor product is considered in detail. The conserved currents built from bilinears of rank 1 fields in $\M_M$ are shown to satisfy the field equations of the rank 2 fields in $\M_M$. Also, the rank 2 fields in $\M_M$ are shown to be equivalent to the rank 1 fields in $\M_{2M}$.
27 pages, latex, no figures. V2: references and one comment added. V3: typos corrected V4: minor correction, one reference and some explanations added, the version to appear in Theor.Math.Phys