Holographic entanglement entropy of surface defects

DOI10.1007/JHEP04(2016)067zbMATH Open1388.83805arXiv1512.04953OpenAlexW2276918378MaRDI QIDQ1638537

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Publication date: 12 June 2018

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Abstract: We calculate the holographic entanglement entropy in type IIB supergravity solutions that are dual to half-BPS disorder-type surface defects in $calN=4$ Super 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 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

Full work available at URL: https://arxiv.org/abs/1512.04953

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