Dimensional reduction for conformal blocks
Dimensional reduction for conformal blocks
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共形块的降维
DOI：
10.1007/jhep09(2016)017
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发表时间：
2016
影响因子：
5.4
通讯作者：
Matthijs Hogervorst
中科院分区：
文献类型：
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作者：
Matthijs Hogervorst
本文考虑CFT的降维问题，将d维共形群SO（d + 1，1）的多重态分解为SO（d，1）的多重态。这导致了d维共形块在d-1维块中的展开。特别地，我们得到了3d共形块作为2F 1超几何函数的无穷和的公式。
A bstractWe consider the dimensional reduction of a CFT, breaking multiplets of the d-dimensional conformal group SO(d + 1, 1) up into multiplets of SO(d, 1). This leads to an expansion of d-dimensional conformal blocks in terms of blocks in d − 1 dimensions. In particular, we obtain a formula for 3d conformal blocks as an infinite sum over 2F1 hypergeometric functions with closed-form coefficients.