Holographic entanglement entropy of surface defects

Understand

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.