Constraining conformal field theories with a higher spin symmetry
Constraining conformal field theories with a higher spin symmetry
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DOI：
10.1088/1751-8113/46/21/214011
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发表时间：
2011-12
期刊：
影响因子：
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通讯作者：
J. Maldacena;A. Zhiboedov
中科院分区：
文献类型：
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作者：
J. Maldacena;A. Zhiboedov
研究了三维共形场理论（CFT）中存在单个高自旋守恒电流所施加的约束。一个较高的自旋守恒电流意味着存在无数个较高的自旋守恒电流。然后证明应力张量和守恒电流的相关函数等于自由场理论的相关函数。也就是N个自由玻色子或自由费米子的理论。这是Coleman-Mandula定理在CFT中的推广，CFT没有传统的s矩阵。我们还简要讨论了高自旋对称性被“轻微”破坏的情况。这篇文章是《物理杂志a：数学与理论》特刊的一部分，专门讨论“高自旋理论和全息”。
We study the constraints imposed by the existence of a single higher spin conserved current on a three-dimensional conformal field theory (CFT). A single higher spin conserved current implies the existence of an infinite number of higher spin conserved currents. The correlation functions of the stress tensor and the conserved currents are then shown to be equal to those of a free field theory. Namely a theory of N free bosons or free fermions. This is an extension of the Coleman–Mandula theorem to CFT’s, which do not have a conventional S-matrix. We also briefly discuss the case where the higher spin symmetries are ‘slightly’ broken. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘Higher spin theories and holography’.