Extended Higher‐Spin Superalgebras and Their Realizations in Terms of Quantum Operators
Extended Higher‐Spin Superalgebras and Their Realizations in Terms of Quantum Operators
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扩展的高自旋超代数及其在量子算子方面的实现
DOI：
10.1002/prop.2190360104
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发表时间：
1988
期刊：
影响因子：
8
通讯作者：
M. Vasiliev
中科院分区：
文献类型：
--
作者：
M. Vasiliev
实现了E. S. FRADKIN和作者，发现在玻色子量子算符。通过增加费米子量子算符，构造了推广了普通广义超对称且任意N > 1的广义高自旋超代数。研究了这些无限维超代数的自同构、真实的形式、子代数、压缩和不变形式。BEREZIN用算子符号描述了高自旋超代数的形式。我们希望这个公式在将来能为构造高自旋问题的完全解提供强有力的工具，即为无质量的高自旋场（S > 2）引入一致的引力相互作用的问题。
The realization of the N = 1 higher-spin superalgebra, proposed earlier by E. S. FRADKIN and the author, is found in terms of bosonic quantum operators. The extended higher-spin super-algebras, generalizing ordinary extended supersymmetry with arbitrary N > 1, are constructed by adding fermion quantum operators. Automorphisms, real forms, subalgebras, contractions and invariant forms of these infinite-dimensional superalgebras are studied. The formulation of the higher-spin superalgebras is described in terms of symbols of operators by BEREZIN. We hope that this formulation will provide in future the powerful tool for constructing the complete solution of the higher-spin problem, the problem of introducing a consistent gravitational interaction for massless higher-spin fields (S > 2).