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Twisted quantum doubles are sign problem-free

cond-mat.str-el · 2025-09-03 · unverdicted · novelty 8.0

Twisted quantum double phases for finite groups can be realized in sign problem-free local Hamiltonians via stochastic series expansion, contrary to the prior belief that non-positive wavefunctions imply an intrinsic sign problem.

Lattice chiral symmetry from bosons in 3+1d

hep-th · 2026-04-07 · unverdicted · novelty 7.0

A bosonic lattice model realizes exact chiral symmetry and its anomaly in 3+1d, with the continuum limit a compact boson theory with axion-like coupling.

Higher Gauging and Non-invertible Condensation Defects

hep-th · 2022-04-05 · unverdicted · novelty 7.0

Higher gauging of 1-form symmetries on surfaces in 2+1d QFT yields condensation defects whose fusion rules involve 1+1d TQFTs and realizes every 0-form symmetry in TQFTs.

When Symmetries Twist: Anomaly Inflow on Monodromy Defects

hep-th · 2026-05-15 · unverdicted · novelty 5.0

Anomaly inflow on monodromy defects in anomalous symmetry theories defines them as domain walls inducing topological order, yielding protected chiral edge modes and adiabatic pumping of gapless degrees of freedom, verified in chiral symmetry examples on continuum and lattice.

ICTP Lectures on (Non-)Invertible Generalized Symmetries

hep-th · 2023-05-29 · accept · novelty 2.0

Lecture notes explain non-invertible generalized symmetries in QFTs as topological defects arising from stacking with TQFTs and gauging diagonal symmetries, plus their action on charges and the SymTFT framework.

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