Events Calendar
Anomalies and entanglement renormalization
Wednesday November 22, 2017
| 4:00 pm
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Presenter: |
Jacob Bridgeman, Dominic J. Williamson, University of Sydney
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| Series: | CQuIC Seminars | |
| Abstract: |
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 phase. Finally, we implement a duality transformation between a pair of critical lines using our subclass of MERA.
arXiv:1703.07782 |
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| Host: | Akimasa Miyake | |
| Location: | PAIS-2540, PAIS | |
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