Entanglement renormalization for quantum fields with boundaries and defects

The continuous Multiscale Entanglement Renormalization Ansatz (cMERA) [Haegeman et al., Phys. Rev. Lett. 110, 100402 (2013)] gives a variational wavefunctional for ground states of quantum field theoretic Hamiltonians. A cMERA is defined as the result applying to reference unentangled state unitary evolution generated by quasilocal operator, entangler. This makes extension formalism case where boundaries and defects are present nontrivial. Here we show how this generalization works, using 1+1d free boson proof-of-principle example, restricting ourselves conformal defects. In our prescription, presence boundary or defect induces modification entangler localized only its vicinity, in analogy with so-called principle minimal updates lattice tensor network MERA.