Multiparticle extension of the higher spin algebra

Abstract

Multiparticle extension of a higher spin algebra l is introduced as the Lie superalgebra associated with the universal enveloping algebra U(l). While conventional higher spin symmetry does not mix n-particle states with different n, multiparticle symmetries do so. Quotients of multiparticle algebras are considered, that act on the space of n-particle states with 0 ⩽ n ⩽ k analogous to the space of first k Regge trajectories of string theory. Original higher spin algebra is reproduced at k = 1. Full multiparticle algebras are conjectured to describe vacuum symmetries of string-like extensions of higher spin gauge theories. The relation of the multiparticle algebras with 3D current operator algebras is described. The central charge parameter, to be related to the parameter in AdS/CFT correspondence, enters via the definition of supertrace. Extension to higher p-brane-like symmetries is introduced inductively.

Locations

• Classical and Quantum Gravity - View
• arXiv (Cornell University) - View - PDF
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