高自旋代数的扭曲Flato-Fronsdal定理
Twisted Flato-Fronsdal Theorem for Higher-Spin Algebras
摘要：
利用so（2，d）特征标研究了高自旋代数的单点模与伴随模之间的关系。为了将单点及其对偶的张量积与伴随模联系起来，我们考虑了一个启发式公式，该公式涉及字符变量的对称化。我们表明，我们的公式正确地再现伴随模字符的A型（及其高阶扩展）和B型高自旋引力理论在任何维度。这种对称化处方在其他模型的影响和微妙之处进行了讨论。
英文摘要：
We explore the relation between the singleton and adjoint modules of higher-spin algebras via so(2,d) characters. In order to relate the tensor product of the singleton and its dual to the adjoint module, we consider a heuristic formula involving symmetrization over the variables of the character. We show that our formula reproduces correctly the adjoint-module character for type-A (and its high-order extensions) and type-B higher-spin gravity theories in any dimension. Implications and subtleties of this symmetrization prescription in other models are discussed.
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