Friday, June 14, 2013

1306.2958 (Tatsuma Nishioka et al.)

Supersymmetric Renyi Entropy    [PDF]

Tatsuma Nishioka, Itamar Yaakov
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 invariant and reduces to entanglement entropy in the q -> 1 limit. We provide some examples.
View original: http://arxiv.org/abs/1306.2958

No comments:

Post a Comment