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ScheduleOrganized by Jennifer Cano, Dominic Else, Andrey Gromov, Siddharth Parameswaran, and Yizhi You
Topological phases of matter are a long-standing subject of interest in the condensed matter community, and increasingly relevant to issues in high-energy physics.
A topological phase is traditionally defined to be a gapped phase which is “non-trivial” (cannot be deformed to a trivial insulator without a phase transition), but where the non-triviality cannot be ascribed merely to spontaneous symmetry breaking.
Several years ago, a conceptually new type of gapped phases was discovered. These phases are known as fracton phases, due to the presence of topologically non-trivial excitations that can only move on lower-dimensional submanifolds, or cannot move at all. Fracton phases challenge our notion of “topological order”, because the low-energy theory depends on some non-topological features of space. In fact, these phases also appear to have an intricate relationship with the geometry of the space where they reside. Alternatively, these phases can be viewed as higher-rank gauge theories obtained by gauging the subsystem symmetries — the symmetries which act along lower-dimensional subspaces. Fractons have attracted a broad interdisciplinary interest due to their potential relationship to lattice gauge theory, quantum computation and memory, elasticity, glassy dynamics and emergent gravity in condensed matter.
Meanwhile, another kind of topological phase which depends on the geometry of space is crystalline topological phases, which are topological phases of matter with spatial symmetries. General approaches to such phases have recently begun to emerge. In many cases they have novel edge states, such as the “higher-order topological insulators”.
The workshop will concentrate on discussing the new developments and ideas regarding the fracton phases and other closely related topics such as topological phases with spatial or subsystem symmetries, as well as higher order topological phases.
This workshop is associated with the program:
Geometrical aspects of topological phases of matter: spatial symmetries, fractons and beyond
Talk Schedule
Time | Title | Speaker |
10:00am | Symmetry-protected topological phases beyond groups | Thomas Quella |
10:15am | Fractonic and compressible phases in layered Chern-Simons theory | Meng Cheng |
10:30am | Break and Q&A | N/A |
11:00am | Closing string-like excitations in (3+1)d topological phases | Clement Delcamp |
11:15am | Hybrid Fracton Orders Part 1 | Sagar Vijay |
11:30am | Hybrid Fracton Orders Part 2 | Nat Tantivasadakarn |
11:45am | Break and Q&A | N/A |
12:15pm | From A to D: Gauging Dihedral Symmetry in the Orthogonal Family | Yichen Hu |
12:30pm | TBD | Leo Radzihovsky |
12:45pm | Break and Q&A | N/A |
Time | Title | Speaker |
10:00am | SPTO under Quantum Channels | Alex Turzillo |
10:15am | Many-Body Electric Multipole Insulators | Taylor Hughes |
10:30am | Break and Q&A | N/A |
11:00am | A systematic construction of gapped non-liquid states | Xiao-Gang Wen |
11:15am | Towards realizing toric code topological order in the lab | Ruben Verresen |
11:30am | Fractal Quantum Phase Transitions | Frank Pollmann |
11:45am | Break and Q&A | N/A |
12:15pm | A recipe for topological defect networks | Dom Williamson |
12:30pm | Hidden duality in a 4+1d topological order | Wilbur Shirley |
12:45pm | Break and Q&A | N/A |
1:15pm | Topological route to new — and higher rank — spin liquids | Roderich Moessner |
1:30pm | Anomalies in (2+1)D fermionic topological phases | Daniel Bulmash |
Time | Title | Speaker |
10:00am | Resolving the Berezinskii-Kosterlitz-Thouless transition in the 2D XY model with TNR+CFT | Masaki Oshikawa |
10:15am | Hilbert Space Fragmentation and Commutant Algebras | Sanjay Moudgalya |
10:30am | Break and Q&A | N/A |
11:00am | Fracton-like quasiparticles in hole-doped antiferromagnets | John Sous |
11:15am | Spectral statistics in many-body quantum chaotic systems with constraints | Abhinav Prem |
11:30am | Ultra Unification: QFT Beyond the Standard Model | Juven C. Wang |
11:45am | Break and Q&A | N/A |
12:15pm | Foliated QFT of Fracton Order | Kevin Slagle |
12:30pm | Gapless states with Categorical Symmetry and Large Conserved Quantities | Xiao-Chuan Wu |
12:45pm | Break and Q&A | N/A |
Time | Title | Speaker |
10:00am | A degeneracy bound for homogeneous topological order | Jeongwan Haah |
10:15am | From Lowest Landau Limit to higher rank symmetry | Dung Nguyen Xuan |
10:30am | Break and Q&A | N/A |
11:00am | Higher-Order Weyl Semimetals | Sayed Ali Akbar Ghorashi |
11:15am | Spectroscopic diagnostics of spin liquids, both conventional and fractonic | Rahul Mahajan Nandkishore |
11:30am | Local avatars of global anomalies | Djordje Radicevic |
11:45am | Break and Q&A | N/A |
12:15pm | Subsystem symmetry fractionalization on point-like excitations | Michael Hermele |
12:30pm | Classification of fractional quantum Hall states with spatial symmetries | Maissam Barkeshli |
12:45pm | Break and Q&A | N/A |
Time | Title | Speaker |
10:00am | Towards a classification of fermionic crystalline SPT states | Yang Qi |
10:15am | Foliated criticality in the X-cube model | Ethan Lake |
10:30am | Break and Q&A | N/A |
11:00am | Lattice vs. Continuum Exotic Field Theories Part I | Nathan Seiberg |
11:15am | Lattice vs. Continuum Exotic Field Theories Part II | Ho Tat Lam |
11:30am | Lattice vs. Continuum Exotic Field Theories Part III | Shu-Heng Shao |
11:45am | Break and Q&A | N/A |
12:15pm | Quantum many-body topology of quasicrystals | Sheng-Jie Huang |
12:30pm | TBD | Fiona Burnell |
12:45pm | Break and Q&A | N/A |