Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-04-19
Russ.Phys.J. 45 (2002) 670-681; Izv.Vuz.Fiz. 2002N7 (2002) 23-34
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 16 pages; no figures. Contribution to Quantum Field Theory, Gravity and Strings. Special issue of the Russian Physcs Jo
Scientific paper
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 $\Sigma \subset \M_M$ 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.
No associations
LandOfFree
Higher Spin Conserved Currents in $Sp(2M)$ Symmetric Spacetime does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Higher Spin Conserved Currents in $Sp(2M)$ Symmetric Spacetime, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Higher Spin Conserved Currents in $Sp(2M)$ Symmetric Spacetime will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-48270