N = 1 superconformal blocks for general scalar operators

Creators: Khandker, Zuhair U.; Li, Daliang; Poland, David; Simmons-Duffin, David

Abstract

We use supershadow methods to derive new expressions for superconformal blocks in 4d N = 1 superconformal field theories. We analyze the four-point function ⟨A_1A^†_2B_1B^†_2⟩, where A_i and ℬ_i are scalar superconformal primary operators with arbitrary dimension and R-charge and the exchanged operator is neutral under R-symmetry. Previously studied superconformal blocks for chiral operators and conserved currents are special cases of our general results.

Additional Information

© 2014 The Author(s). Received: May 12, 2014 Accepted: July 14, 2014 Published: August 7, 2014 We are grateful to J. Kaplan and L. Fitzpatrick for collaboration and many discussions at the early stages of this work. We also thank C. Beem, M. Berkooz, J. Fortin,W. Goldberger, K. Intriligator, L. Rastelli, D. Skinner, A. Stergiou, R. Yacoby, and A. Zait for discussions and correspondence. We additionally thank the organizers of the "Back to the Bootstrap 3" workshop at CERN for facilitating discussions related to this work. DP and DSD thank the KITP for its hospitality during the completion of this work. This research was supported in part by the National Science Foundation under Grant No. NSF PHY11-25915. DSD was supported by DOE grant DE-SC0009988. ZUK was supported by DOE grant 9500302471.

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Published - 10.1007_2FJHEP08_2014_049.pdf

Submitted - 1404.5300.pdf

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