Higher Rank Conformal Fields in the $Sp(2M)$ Symmetric Generalized Space-Time
| dc.creator | Gelfond, O. A. | |
| dc.creator | Vasiliev, M. A. | |
| dc.date | 2003-04-02 | |
| dc.date | 2005-05-19 | |
| dc.date.accessioned | 2026-07-07T06:24:12Z | |
| dc.date.available | 2026-07-07T06:24:12Z | |
| dc.description | 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 $\M_{2M}$. | |
| dc.description | 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 | |
| dc.identifier | https://arxiv.org/abs/hep-th/0304020 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0304020 | |
| dc.identifier | Theor.Math.Phys. 145 (2005) 1400-1424; Teor.Mat.Fiz. 145 (2005) 35-65 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96461 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Higher Rank Conformal Fields in the $Sp(2M)$ Symmetric Generalized Space-Time | |
| dc.type | text |