论文标题

d维超符合场理论中的谐波分析

Harmonic Analysis in d-dimensional Superconformal Field Theory

论文作者

Buric, Ilija

论文摘要

超符号块和交叉对称方程是任何超符号场理论中的中心成分之一。我们回顾了这些对象的方法,该对象植根于对超符号组的谐波分析[J。高能量物理。 2020(2020),否。 1,159,40页,Arxiv:1904.04852]和[J.高能量物理。 2020(2020),否。 10、147、44页,Arxiv:2005.13547]。将共形的四点函数提升到超符号组的函数之后,我们解释了如何获得交叉约束和Casimir方程的紧凑表达式。后来允许将超符号块作为有限的旋转骨块。

Superconformal blocks and crossing symmetry equations are among central ingredients in any superconformal field theory. We review the approach to these objects rooted in harmonic analysis on the superconformal group that was put forward in [J. High Energy Phys. 2020 (2020), no. 1, 159, 40 pages, arXiv:1904.04852] and [J. High Energy Phys. 2020 (2020), no. 10, 147, 44 pages, arXiv:2005.13547]. After lifting conformal four-point functions to functions on the superconformal group, we explain how to obtain compact expressions for crossing constraints and Casimir equations. The later allow to write superconformal blocks as finite sums of spinning bosonic blocks.

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