Holographic Calculation of Boundary Entropy

Details Holographic Calculation of Boundary Entropy Holographic Calculation of Boundary Entropy

2007-12-11

arxiv.org/abs/0712.1850v1

JHEP 0803:054-054,2008

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 3 figures

Scientific paper

10.1088/1126-6708/2008/03/054

We use the holographic proposal for calculating entanglement entropies to determine the boundary entropy of defects in strongly coupled two-dimensional conformal field theories. We study several examples including the Janus solution and show that the boundary entropy extracted from the entanglement entropy as well as its more conventional definition via the free energy agree with each other. Maybe somewhat surprisingly we find that, unlike in the case of a conformal field theory with boundary, the entanglement entropy for a generic region in a theory with defect carries detailed information about the microscopic details of the theory. We also argue that the g-theorem for the boundary entropy is closely related to the strong subadditivity of the entanglement entropy.

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