Janus interface entropy and Calabi's diastasis in four-dimensional $\mathcal{N}=2$ superconformal field theories

Abstract

We study the entropy associated with the Janus interface in a 4$d$ $\mathcal{N}=2$ superconformal field theory. With the entropy defined as the interface contribution to an entanglement entropy we show, under mild assumptions, that the Janus interface entropy is proportional to the geometric quantity called Calabi's diastasis on the space of $\mathcal{N}=2$ marginal couplings, confirming an earlier conjecture by two of the authors and generalizing a similar result in two dimensions. Our method is based on a CFT consideration that makes use of the Casini-Huerta-Myers conformal map from the flat space to the round sphere.

41 pages, 1 figure; v2: minor typos corrected, preprint number added

References in corpus (19)

• Towards a derivation of holographic entanglement entropy
• Entanglement entropy, conformal invariance and extrinsic geometry
• Exact half-BPS Type IIB interface solutions I: Local solution and supersymmetric Janus
• Sphere Partition Functions and the Zamolodchikov Metric
• Boundary Conformal Field Theory and a Boundary Central Charge
• Interface Yang-Mills, Supersymmetry, and Janus
• Comments on N=(2,2) Supersymmetry on Two-Manifolds
• 3d Abelian Gauge Theories at the Boundary
• Supersymmetric Rényi Entropy in Five Dimensions
• N=2 supergravity and supercurrents
• Super-Rényi Entropy & Wilson Loops for N=4 SYM and their Gravity Duals
• The holographic supersymmetric Renyi entropy in five dimensions
• N = 4 Super-Yang-Mills on Conic Space as Hologram of STU Topological Black Hole
• Large N Free Energy of 3d N=4 SCFTs and AdS/CFT
• Boundary F-maximization
• Janus and Multifaced Supersymmetric Theories II
• Goldstinos, Supercurrents and Metastable SUSY Breaking in N=2 Supersymmetric Gauge Theories
• A note on entanglement entropy and regularization in holographic interface theories
• Holographic Entropy and Calabi's Diastasis

Cited by in corpus (2)

• Topological pseudo entropy
• Holographic and Localization Calculations of Boundary F for $\mathcal{N}=4$ SUSY Yang-Mills Theory