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Article overview
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Entanglement entropy, conformal invariance and extrinsic geometry | Sergey N. Solodukhin
; | Date: |
21 Feb 2008 | Abstract: | We use the conformal invariance and the holographic correspondence to fully
specify the dependence of entanglement entropy on the extrinsic geometry of the
2d surface $Sigma$ that separates two subsystems of quantum strongly coupled
${mathcal{N}}=4$ SU(N) superconformal gauge theory. We extend this result and
calculate entanglement entropy of a generic 4d conformal field theory. As a
byproduct, we obtain a closed-form expression for the entanglement entropy in
flat space-time when $Sigma$ is sphere $S_2$ and when $Sigma$ is
two-dimensional cylinder. In both cases the logarithmic term in the entropy is
determined by the extrinsic geometry of $Sigma$. | Source: | arXiv, 0802.3117 | Services: | Forum | Review | PDF | Favorites |
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