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Higher Rank Conformal Fields in the $Sp(2M)$ Symmetric Generalized Space-Time | | O.A.Gelfond
; M.A.Vasiliev
; | | Date: |
2 Apr 2003 | | Subject: | hep-th | | Abstract: | We study various $Sp(2M)$ invariant field equations corresponding to rank $r$ tensor products of the Fock (singleton) representation of $Sp(2M)$. 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 $M_{2M}$. | | Source: | arXiv, hep-th/0304020 | | Services: | Forum | Review | PDF | Favorites | |
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