Anomalies and entanglement renormalization (Jacob Bridgeman)
11:30 - 12:30
School of Physics, Faculty of Science, The University of Sydney, Australia
Theory seminar room
MPQ, Theory Division
We study 't Hooft anomalies of discrete groups in the framework of (1+1)-dimensional multiscale entanglement renormalization ansatz states on the lattice.
Using matrix product operators, general topological
restrictions on conformal data are derived. An ansatz class allowing for
optimization of MERA with an anomalous symmetry is introduced. We utilize this
class to numerically study a family of Hamiltonians with a symmetric critical
line. Conformal data is obtained for all irreducible projective representations
of each anomalous symmetry twist, corresponding to definite topological
sectors. It is numerically demonstrated that this line is a protected gapless
Finally, we implement a duality transformation between a
pair of critical lines using our subclass of MERA.