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arXiv · 1610.08970

Boundary Fluctuations and A Reduction Entropy

Christopher Herzog·Kuo-Wei Huang
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Abstract

The boundary Weyl anomalies live on a codimension-1 boundary, $\partial {\cal M}$. The entanglement entropy originates from infinite correlations on both sides of a codimension-2 surface, $\Sigma$. Motivated to have a further understanding of the boundary effects, we introduce a notion of reduction entropy, which, guided by thermodynamics, is a combination of the boundary effective action and the boundary stress tensor defined by allowing the metric on $\partial {\cal M}$ to fluctuate. We discuss how a reduction might be performed so that the reduction entropy reproduces the entanglement structure.

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Christopher Herzog, Kuo-Wei Huang. 2016-10-27. Boundary Fluctuations and A Reduction Entropy. https://doi.org/10.1103/physrevd.95.021901

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