MG13 - Talk detail |
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Participant |
Fursaev, Dmitry | |||||||
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Institution |
Dubna International University - Universitetskaya - Dubna - Moscow Region - Russia | |||||||
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Session |
BH4 |
Accepted |
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Order |
Time |
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Talk |
Oral abstract |
Title |
Holographic Renyi Entropy | |||||
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Abstract |
An entanglement R\'{e}nyi entropy for a spatial partition of a system is studied in conformal theories which admit a dual description in terms of an anti-de Sitter gravity. The divergent part of the R\'{e}nyi entropy is computed in 4D conformal ${\cal N}=4$ super Yang-Mills theory at a weak coupling. This result is used to suggest a holographic formula which reproduces the R\'{e}nyi entropy at least in the leading approximation. The holographic R\'{e}nyi entropy is an invariant functional set on a codimension 2 minimal hypersurface in the bulk geometry. The bulk space does not depend on order $n$ of the R\'{e}nyi entropy. The holographic R\'{e}nyi entropy is a sum of local and non-local functionals multiplied by polynomials of $1/n$. |
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