# Quantum Matter in Mathematics and Physics

The CMSA will be hosting a year-long program on Quantum Matter in Math and Physics during academic year 2019-2020. This program will foster in-depth discussions and strive for cross-field collaborations between mathematics and physics, including on the subjects of condensed matter, quantum many-body physics and quantum information, high-energy particle physics, quantum field theory, and string theory, and mathematics including geometry, topology, and category theory via algebraic or analysis methods.

**Organizers: **

- Juven Wang (Harvard/IAS Princeton)
- Xiao-Gang Wen (MIT)
- Shing-Tung Yau (Harvard)

**Co-organizers: **

- Ryan Thorngren (Harvard/Weizmann Institute of Science)
- Yifan Wang (Harvard/Princeton)

Additional points of study and discussion will include:

**Topological gapped phases of matter and quantum anomalies:**Bulk physics of Symmetry-Protected Topological state (SPTs), Symmetry-Enriched Topological Ordered state (SETs), and fractal or fractonic matter, with particular emphasis on higher-symmetries,sub-dimensional or subsystem symmetries, entanglement structures, and their boundary phenomena and dynamical constraints.**Critical phenomena, gapless phases, and phase transitions:**Emergent or approximate conformal field theories, interactions effects to Fermi surfaces, Weyl semimetal, high-temperature superconductor such as cuprate, and strange metal, or twisted bilayer graphenes.**Non-perturbative effects in condensed matter and gauge theories:**Applications to fractional quantum Hall states, quantum spin liquids and exotic lattice models, strong/weak interactions and beyond Standard Model physics.

On **December 2-4, 2019** the CMSA will be hosting a **workshop on Quantum Matter** as part of our **program on Quantum Matter in Mathematics and Physics**.

The CMSA will also be hosting a **weekly seminar on Quantum Matter/Quantum Field Theory.** The seminar will take place from 10:30-12:00pm in room G10.

Here is a partial list of the mathematicians and physicists who have indicated that they will attend part or all of this special program as a visitor:

- Xie Chen, Caltech Condensed Matter
- Clay Cordova, University of Chicago
- Robert Gompf, UT Austin
- Po-Shen Hsin, Caltech
- Anton Kapustin , Caltech
- Ryohei Kobayashi, University of Tokyo
- Zohar Komargodski , SCGP SUNY
- Kantaro Ohmori, SCGP SUNY
- Erich Poppitz, University of Toronto
- Michael Pretko, UC Boulder
- Shu-Heng Shao, IAS
- Yuya Tanizaki, North Carolina State University
- David Tong, University of Cambridge
- Chong Wang, Perimeter Institute
- Yizhuang You, UCSD