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arXiv 2005.108332020-05hep-th

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

Kanato Goto, Lento Nagano, Tatsuma Nishioka, Takuya Okuda

备注：: 41 pages, 1 figure; v2: minor typos corrected, preprint number added
DOI：: 10.1007/JHEP08(2020)048

英文摘要：

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.

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