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Multiparticle extension of the higher-spin algebra | M. A. Vasiliev
; | Date: |
25 Dec 2012 | 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
$0leq nleq k$ 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 central charge
parameter, to be related to the parameter $N$ in $AdS/CFT$ correspondence,
enters via the definition of supertrace. Extension to higher $p$-brane-like
symmetries is introduced inductively. | Source: | arXiv, 1212.6071 | Services: | Forum | Review | PDF | Favorites |
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