Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-12-23
Physics
High Energy Physics
High Energy Physics - Theory
19 pages; v2: references added, minor changes
Scientific paper
We compute the holographic entanglement entropy in the gravity with higher curvature terms dual to $d=4$ $\mathcal{N}=2$ SCFTs in F-theory using the method proposed in arXiv:1011.5819. The log term of this entanglement entropy reproduces the $A$-type anomaly of the dual SCFTs in F-theory using the gravity dual with the higher derivative term, which, using the field redefinition, can be transformed to the Gauss-Bonnet term in the subleading order of a derivative expansion. To obtain consistent results, we discuss the holographic c-theorem.
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