On Conformal, SL(4,R) and Sp(8,R) Symmetries of 4d Massless Fields
| dc.creator | Vasiliev, M. A. | |
| dc.date | 2007-07-07 | |
| dc.date | 2007-11-16 | |
| dc.date.accessioned | 2026-07-07T11:17:37Z | |
| dc.date.available | 2026-07-07T11:17:37Z | |
| dc.description | The $sp(8, R)$ invariant formulation of free field equations of massless fields of all spins in $AdS_4$ available previously in terms of gauge invariant field strengths is extended to gauge potentials. As a by-product, free field equations for a massless gauge field are shown to possess both $su(2,2)\sim o(4,2)$ and $sl(4,R)\sim o(3,3)$ symmetry. The proposed formulation is well-defined in the $AdS_4$ background but experiences certain degeneracy in the flat limit that does not allow conformal invariant field equations for spin $s>1$ gauge fields in Minkowski space. The basis model involves the doubled set of fields of all spins. It is manifestly invariant under U(1) electric-magnetic duality extended to higher spins. Reduction to a single massless field contains the equations that relate its electric and magnetic potentials which are mixed by the conformal transformations for s>1. We use the unfolded formulation approach recalled in the paper with some emphasis on the role of Chevalley-Eilenberg cohomology of a Lie algebra $g$ in $g$-invariant field equations. This method makes it easy to guess a form of the 4d $sp(8, R)$ invariant massless field equations and then to extend them to the ten dimensional $sp(8,R)$ invariant space-time. Dynamical content of the field equations is analyzed in terms of $σ_-$ cohomology. | |
| dc.description | 66 pages, V2: minor corrections, references and acknowledgments added, coefficients and typos corrected, V3: typos corrected, version to appear in Nucl. Phys. B | |
| dc.identifier | https://arxiv.org/abs/0707.1085 | |
| dc.identifier | http://arxiv.org/abs/0707.1085 | |
| dc.identifier | Nucl.Phys.B793:469-526,2008 | |
| dc.identifier | doi:10.1016/j.nuclphysb.2007.10.017 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/193064 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On Conformal, SL(4,R) and Sp(8,R) Symmetries of 4d Massless Fields | |
| dc.type | text |