Entanglement entropy of two dimensional systems and holography
Georgios Michalogiorgakis
TL;DR
This paper introduces a novel holographic method for calculating entanglement entropy in 2D conformal field theories by constructing bulk backgrounds with specific boundary singularities.
Contribution
It proposes a new approach to compute entanglement entropy holographically using boundary metrics with conical singularities, demonstrated explicitly in two dimensions.
Findings
New holographic method for entanglement entropy calculation
Explicit 2D example illustrating the method
Potential for extending to higher dimensions
Abstract
In this note a new method for computing the entanglement entropy of a CFT holographically is explored. It consists of finding a bulk background with a boundary metric that has the conical singularities needed to compute the entanglement entropy in the usual QFT definition. An explicit calculation is presented for d=2.
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