Holographic entanglement entropy of surface defects
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Holographic entanglement entropy of surface defects

  • Author(s): Gentle, Simon A
  • Gutperle, Michael
  • Marasinou, Chrysostomos
  • Editor(s): Gutperle, Michael
  • et al.
Abstract

We calculate the holographic entanglement entropy in type IIB supergravity solutions that are dual to half-BPS disorder-type surface defects in ${\cal N}=4$ 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

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