N = 1 superconformal blocks for general scalar operators

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 〈A1 A2† B1 B2†〉, where A i and Bi 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. © 2014 The Author(s).