First order formalism for the holographic duals of defect CFTs

Understand

We develop a first order formalism for constructing gravitational duals of conformal defects in a bottom up approach.

• Similarly as for the flat domain walls a single function specifies the solution completely.
• Using this formalism we construct several novel families of analytic solutions dual to conformal interfaces and boundaries.
• As a sample application we study the boundary OPE and entanglement entropy for one of the found defects.