Momentum space conformal three-point functions of conserved currents and a general spinning operator

• Isono, Hiroshi

• 野海, 俊文

• Takeuchi, Toshiaki

抄録

We construct conformal three-point functions in momentum space with a general tensor and conserved currents of spin 1 and 2. While conformal correlators in momentum space have been studied especially in the connection with cosmology, correlators involving a tensor of general spin and scaling dimension have not been studied very much yet. Such a direction is unavoidable when we go beyond three-point functions because general tensors always appear as an intermediate state. In this paper, as a first step, we solve the Ward-Takahashi identities for correlators of a general tensor and conserved currents. In particular we provide their expression in terms of the so-called triple-K integrals and a differential operator which relates triple-K integrals with different indices. For several correlators, closed forms without the differential operator are also found.

収録刊行物

• Journal of High Energy Physics

  Journal of High Energy Physics 2019 (5), 57-57, 2019-05-10

  Springer

キーワード

• Conformal Field Theory
• AdS-CFT Correspondence
• Conformal and W Symmetry

詳細情報

• CRID: 1050012570393085056
• NII論文ID: 120006634681
• DOI: 10.1007/jhep05(2019)057
• ISSN: 10298479
• ISSN: 11266708
• HANDLE: 20.500.14094/90006032
• Web Site: https://link.springer.com/content/pdf/10.1007/JHEP05(2019)057.pdf
• Web Site: https://link.springer.com/article/10.1007/JHEP05(2019)057/fulltext.html
• 本文言語コード: en
• 資料種別: journal article
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