Higher-Spin Theories and $Sp(2M)$ Invariant Space--Time

Abstract

Some methods of the ``unfolded dynamics'' machinery particularly useful for the analysis of higher spin gauge theories are summarized. A formulation of 4d conformal higher spin theories in Sp(8) invariant space-time with matrix coordinates and its extension to Sp(2M) invariant space-times are discussed. A new result on the global characterizaton of causality of physical events in the Sp(2M) invariant space-time is announced.

Extended version of the talk presented at the third Sakharov Conference in Physics, Moscow, 26-29 June 2002; Latex, 26 pages; no figures

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