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Momentum space approach to crossing symmetric CFT correlators II: General spacetime dimension

High Energy Physics - Theory 2020-01-08 v1 Statistical Mechanics Mathematical Physics math.MP

Abstract

Our previous work [1] constructed, in three-dimensional momentum space, a manifestly crossing symmetric basis for scalar conformal four-point functions, based on the factorization property proposed by Polyakov. This work extends this construction to general dimensional conformal field theory. To facilitate the treatment of symmetric traceless tensors, we exploit techniques of spherical harmonics in general dimensions.

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Cite

@article{arxiv.1908.04572,
  title  = {Momentum space approach to crossing symmetric CFT correlators II: General spacetime dimension},
  author = {Hiroshi Isono and Toshifumi Noumi and Gary Shiu},
  journal= {arXiv preprint arXiv:1908.04572},
  year   = {2020}
}

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19 pages