Higher Rank Conformal Fields in the $Sp(2M)$ Symmetric Generalized Space-Time

Details Higher Rank Conformal Fields in the $Sp(2M)$ Symmetric Generalized Space-Time Higher Rank Conformal Fields in the $Sp(2M)$ Symmetric Generalized Space-Time

2003-04-02

arxiv.org/abs/hep-th/0304020v4

Theor.Math.Phys. 145 (2005) 1400-1424; Teor.Mat.Fiz. 145 (2005) 35-65

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, latex, no figures. V2: references and one comment added. V3: typos corrected V4: minor correction, one reference and

Scientific paper

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 $\M_{2M}$.

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