Simons- Program: Geometrical aspects of topological phases of matter: spatial symmetries, fractons and beyond

  1. Title:
    Effective field theories of topological crystalline insulators and topological crystals

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  2. Title:
    Topological phases with fractal subsystem symmetry

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  3. Title:
    Fermionic particles, fermionic loops, and gravitational anomalies

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  4. Title:
    The dipolar Bose-Hubabrd model

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  5. Title:
    Non-invertible Defects from Higher Gauging

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  6. Title:
    Higher-rank U(1) spin liquid by design, with experimental applications

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  7. Title:
    From Fractional Quantum Hall to (non-linear) higher rank symmetry

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  8. Title:
    Subsystem symmetry fractionalization in two dimensions

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  9. Title:
    Spatially modulated symmetries on a lattice

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  10. Title:
    Topological orders, symmetries, and dualities

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  11. Title:
    Topological order and error correction on fractal geometries: fractal surface codes

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  12. Title:
    Type I Fractons

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  13. Title:
    Amorphous topological phases protected by continuous rotation symmetry

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  14. Title:
    Non-Compact Atomic Insulators

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  15. Title:
    Fractional disclination charge and discrete shift in the Hofstadter butterfly

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  16. Title:
    Topological order and long-range entanglement from measuring SPT phases

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  18. Title:
    Gapless Infinite-component Chern-Simons-Maxwell Theory

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  19. Title:
    Adiabatic Cycles in Quantum Spin Systems

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  20. Title:
    Surface Excitations of 3d Topological Insulators: Conformal Invariance, Self-Duality and Bosonization

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