The Gravity Dual of Supersymmetric Renyi Entropy

Understand

Supersymmetric Renyi entropies are defined for three-dimensional N=2 superconformal field theories on a branched covering of a three-sphere by using the localized partition functions.

• Under a conformal transformation, the branched covering is mapped to S^1 x H^2, whose gravity dual is the charged topological AdS_4 black hole.
• The black hole can be embedded into four-dimensional N=2 gauged supergravity where the mass and charge are related so that it preserves half of the supersymmetries.
• We compute the supersymmetric Renyi entropies with and without a certain type of Wilson loop operators in the gravity theory.