During 2024–25, the CMSA will host a seminar on Quantum Matter in Mathematics and Physics, organized by Ahsan Khan, Robert Moscrop, and Sunghyuk Park.
This seminar will take place on Fridays at 9:00–10:30 am (Eastern Time) through October. In November, seminars will be held from 10:00–11:30 am. To learn how to attend this seminar, please fill out this form.
The schedule will be updated as talks are confirmed.
Videos are available at the Quantum Matter in Mathematics and Physics Youtube Playlist
Speaker: Eric Sharpe (Virginia Tech) Title: Anomaly resolution via decomposition Abstract: In this talk we will discuss a method of anomaly resolution due to Wang-Wen-Witten in the special case of (1+1) dimensional theories. Briefly, for our purposes, Wang-Wen-Witten argued that an ill-defined anomalous orbifold could be resolved by extending G to a larger group and […]
Speaker: Biao Lian (Princeton) Title: Integrability and chaos of 1+1d chiral edge states Abstract: I will talk about the integrability and chaos of 1+1d interacting chiral edge states, which may arise on the edge of 2+1d topological phases. We show that integrable chiral Luttinger liquid is not always a good low energy description of the […]
Speaker: Clay Cordova (U Chicago) Title: Non-Invertible Duality Defects in 3+1 Dimensions Abstract: For any quantum system invariant under gauging a higher-form global symmetry, we construct a non-invertible topological defect by gauging in only half of spacetime. This generalizes the Kramers-Wannier duality line in 1+1 dimensions to higher spacetime dimensions. We focus on the case of a […]
Speaker: Yifan Wang (NYU) Title: Fusion Category Symmetries in Quantum Field Theory Abstract: Topological defects provide a modern perspective on symmetries in quantum field theory. They generalize the familiar inverti https://www.youtube.com/watch?v=p82wzcicCk8&t=72s ble symmetries described by groups to non-invertible symmetries described by fusion categories. Such generalized symmetries are ubiquitous in quantum field theory and provide new constraints on […]
Speaker: Jeongwan Haah (Microsoft) Title: A degeneracy bound for homogeneous topological order https://www.youtube.com/watch?v=IjHJa-hy-3o
Speaker: Jie Wang (Simons Foundation) Title: Quantum Geometric Aspects of Chiral Twisted Graphene Models Abstract: “Moire” materials produced by stacking monolayers with small relative twist angles are of intense current interest for the range of correlated electron phenomena they exhibit. The quench of the kinetic energy means that the interacting physics is controlled by the interplay between […]
Speaker: B. Andrei Bernevig (Princeton University) Title: Exact Eigenstates in Non-Integrable Systems: A violation of the ETH Abstract: We find that several non-integrable systems exhibit some exact eigenstates that span the energy spectrum from lowest to the highest state. In the AKLT Hamiltonian and in several others “special” non-integrable models, we are able to obtain the analytic […]
Speaker: Shinsei Ryu (Princeton University) Title: Multipartitioning topological phases and quantum entanglement Abstract: We discuss multipartitions of the gapped ground states of (2+1)-dimensional topological liquids into three (or more) spatial regions that are adjacent to each other and meet at points. By considering the reduced density matrix obtained by tracing over a subset of the regions, we […]