Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-07-21
JHEP 0411 (2004) 023
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX, 30 pages, no figures. V2. Discussion on conventional constraints extended, typos corrected, JHEP style, to appear in JH
Scientific paper
10.1088/1126-6708/2004/11/023
We present the superfield generalization of free higher spin equations in tensorial superspaces and analyze tensorial supergravities with GL(n) and SL(n) holonomy as a possible framework for the construction of a non-linear higher spin field theory. Surprisingly enough, we find that the most general solution of the supergravity constraints is given by a class of superconformally flat and OSp(1|n)-related geometries. Because of the conformal symmetry of the supergravity constraints and of the higher spin field equations such geometries turn out to be trivial in the sense that they cannot generate a `minimal' coupling of higher spin fields to their potentials even in curved backgrounds with a non-zero cosmological constant. This suggests that the construction of interacting higher spin theories in this framework might require an extension of the tensorial superspace with additional coordinates such as twistor-like spinor variables which are used to construct the OSp(1|2n) invariant (`preonic') superparticle action in tensorial superspace.
Bandos Igor
Pasti Paolo
Sorokin Dmitri
Tonin Mario
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