Fermion-scalar conformal blocks

Creators: Iliesiu, Luca; Kos, Filip; Poland, David; Pufu, Silviu S.; Simmons-Duffin, David; Yacoby, Ran

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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