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TMF, 2005, Volume 145, Number 1, Pages 35–65 (Mi tmf1880)  

This article is cited in 35 scientific papers (total in 35 papers)

Higher-Rank Conformal Fields in the $Sp(2M)$-Symmetric Generalized Space-Time

M. A. Vasilieva, O. A. Gelfondb

a P. N. Lebedev Physical Institute, Russian Academy of Sciences
b Scientific Research Institute for System Studies of RAS

Abstract: We study various $Sp(2M)$-invariant field equations corresponding to rank-$r$ tensor products of the Fock (singleton) representation of $Sp(2M)$. These equations describe localization on “branes” of different dimensions embedded in the generalized space-time $\mathcal M_M$ with matrix (i.e., “central charge”) coordinates. We consider the case of a bilinear tensor product in detail and show that the conserved currents built from bilinears of rank-1 fields in satisfy the field equations for rank-2 fields in $\mathcal M_M$. We also show that rank-2 fields in $\mathcal M_M$ are equivalent to rank-1 fields in $\mathcal M_{2M}$.

Keywords: higher-spin fields, higher symmetries


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English version:
Theoretical and Mathematical Physics, 2005, 145:1, 1400–1424

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Received: 31.01.2005

Citation: M. A. Vasiliev, O. A. Gelfond, “Higher-Rank Conformal Fields in the $Sp(2M)$-Symmetric Generalized Space-Time”, TMF, 145:1 (2005), 35–65; Theoret. and Math. Phys., 145:1 (2005), 1400–1424

Citation in format AMSBIB
\by M.~A.~Vasiliev, O.~A.~Gelfond
\paper Higher-Rank Conformal Fields in the $Sp(2M)$-Symmetric Generalized Space-Time
\jour TMF
\yr 2005
\vol 145
\issue 1
\pages 35--65
\jour Theoret. and Math. Phys.
\yr 2005
\vol 145
\issue 1
\pages 1400--1424

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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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