Higher Spin Conserved Currents in $Sp(2M)$ Symmetric Spacetime
| dc.creator | Vasiliev, M. A. | |
| dc.date | 2002-04-19 | |
| dc.date.accessioned | 2026-07-07T04:13:24Z | |
| dc.date.available | 2026-07-07T04:13:24Z | |
| dc.description | Infinite set of higher spin conserved charges is found for the $sp(2M)$ symmetric dynamical systems in $\f{1}{2} M (M+1)$-dimensional generalized spacetime $\M_M$. Since the dynamics in $\M_M$ is equivalent to the conformal dynamics of infinite towers of fields in $d$-dimensional Minkowski spacetime with $d=3,4,6,10,...$ for $M=2,4,8,16, ...$, respectively, the constructed currents in $\M_M$ generate infinite towers of (mostly new) higher spin conformal currents in Minkowski spacetime. The charges have a form of integrals of $M$-forms which are bilinear in the field variables and are closed as a consequence of the field equations. Conservation implies independence of a value of charge of a local variation of a $M$-dimensional integration surface $Σ\subset \M_M$ analogous to Cauchy surface in the usual spacetime. The scalar conserved charge provides an invariant bilinear form on the space of solutions of the field equations that gives rise to a positive definite norm on the space of quantum states. | |
| dc.description | Latex, 16 pages; no figures. Contribution to Quantum Field Theory, Gravity and Strings. Special issue of the Russian Physcs Journal dedicated to century of Tomsk State Pedagogical University | |
| dc.identifier | https://arxiv.org/abs/hep-th/0204167 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0204167 | |
| dc.identifier | Russ.Phys.J. 45 (2002) 670-681; Izv.Vuz.Fiz. 2002N7 (2002) 23-34 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51246 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Higher Spin Conserved Currents in $Sp(2M)$ Symmetric Spacetime | |
| dc.type | text |