Towards a derivation of holographic entanglement entropy
We provide a derivation of holographic entanglement entropy for spherical entangling surfaces. Our construction relies on conformally mapping the boundary CFT to a hyperbolic geometry and observing that the vacuum state is mapped to a thermal state in the latter geometry. Hence the conformal transfo...
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| Veröffentlicht in: | The journal of high energy physics 2011-05, Vol.2011 (5), Article 36 |
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| container_title | The journal of high energy physics |
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| creator | Casini, Horacio Huerta, Marina Myers, Robert C. |
| description | We provide a derivation of holographic entanglement entropy for spherical entangling surfaces. Our construction relies on conformally mapping the boundary CFT to a hyperbolic geometry and observing that the vacuum state is mapped to a thermal state in the latter geometry. Hence the conformal transformation maps the entanglement entropy to the thermodynamic entropy of this thermal state. The AdS/CFT dictionary allows us to calculate this thermodynamic entropy as the horizon entropy of a certain topological black hole. In even dimensions, we also demonstrate that the universal contribution to the entanglement entropy is given by
A
-type trace anomaly for any CFT, without reference to holography. |
| doi_str_mv | 10.1007/JHEP05(2011)036 |
| format | Article |
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A
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| subjects | Classical and Quantum Gravitation Conformal mapping Derivation Elementary Particles Entanglement Entropy Geometry Heat of transformation High energy physics Holography Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Relativity Theory String Theory |
| title | Towards a derivation of holographic entanglement entropy |
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