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Published April 2016 | Submitted + Published
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Fermion-scalar conformal blocks

Iliesiu, Luca ORCID icon
Kos, Filip ORCID icon
Poland, David ORCID icon
Pufu, Silviu S. ORCID icon
Simmons-Duffin, David ORCID icon
Yacoby, Ran
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Abstract

We compute the conformal blocks associated with scalar-scalar-fermion-fermion 4-point functions in 3D CFTs. Together with the known scalar conformal blocks, our result completes the task of determining the so-called 'seed blocks' in three dimensions. Conformal blocks associated with 4-point functions of operators with arbitrary spins can now be determined from these seed blocks by using known differential operators.

Additional Information

© 2016 The Author(s). Received: December 11, 2015 Accepted: March 29, 2016 Published: April 13, 2016 We thank João Penedones, Emilio Trevisani, and Masahito Yamazaki for discussions. This work was supported by the US NSF under grant No. PHY-1418069 (LI, SSP, and RY), DOE grant number DE-SC0009988 (DSD), and NSF grant PHY-1350180 (FK and DP). DSD is supported in part by a William D. Loughlin Membership at the Institute for Advanced Study. DP is supported in part by a Martin A. and Helen Chooljian Founders' Circle Membership at the Institute for Advanced Study. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Published - 10.1007_2FJHEP04_2016_074.pdf

Submitted - 1511.01497.pdf

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Created:
August 20, 2023
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October 17, 2023