Abstract
We calculate the holographic entanglement entropy in type IIB supergravity solutions that are dual to half-BPS disorder-type surface defects in \( \mathcal{N}=4 \) supersymmetric Yang-Mills theory. The entanglement entropy is calculated for a ball-shaped region bisected by a surface defect. Using the bubbling supergravity solutions we also compute the expectation value of the defect operator. Combining our result with the previously-calculated one-point function of the stress tensor in the presence of the defect, we adapt the calculation of Lewkowycz and Maldacena [1] to obtain a second expression for the entanglement entropy. Our two expressions agree up to an additional term, whose possible origin and significance is discussed.
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Gentle, S.A., Gutperle, M. & Marasinou, C. Holographic entanglement entropy of surface defects. J. High Energ. Phys. 2016, 67 (2016). https://doi.org/10.1007/JHEP04(2016)067
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DOI: https://doi.org/10.1007/JHEP04(2016)067