Supersymmetric Rényi entropy

Tatsuma Nishioka, Itamar Yaakov
2013 Journal of High Energy Physics  
We consider 3d N>= 2 superconformal field theories on a branched covering of a three-sphere. The Renyi entropy of a CFT is given by the partition function on this space, but conical singularities break the supersymmetry preserved in the bulk. We turn on a compensating R-symmetry gauge field and compute the partition function using localization. We define a supersymmetric observable, called the super Renyi entropy, parametrized by a real number q. We show that the super Renyi entropy is duality
more » ... nvariant and reduces to entanglement entropy in the q -> 1 limit. We provide some examples.
doi:10.1007/jhep10(2013)155 fatcat:hjskpckph5dvrbq2pxhotphcjm