A Z2 x Z2 gauge theory on a 1D chain produces an LSM theorem in the Gauss law subspace via a U(1) symmetry from the constraint, forbidding trivial gapped states and identifying a gapless Dirac fermion point with r^{-2/9} correlations.
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The chiral Dicke model exhibits robust U(1) symmetry breaking in a superradiant phase and multiversality, with the dynamical critical exponent zν changing from 1 to 1/2 along a special parameter line.
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Lieb-Schultz-Mattis theorem from gauge constraints
A Z2 x Z2 gauge theory on a 1D chain produces an LSM theorem in the Gauss law subspace via a U(1) symmetry from the constraint, forbidding trivial gapped states and identifying a gapless Dirac fermion point with r^{-2/9} correlations.
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Robust continuous symmetry breaking and multiversality in the chiral Dicke model
The chiral Dicke model exhibits robust U(1) symmetry breaking in a superradiant phase and multiversality, with the dynamical critical exponent zν changing from 1 to 1/2 along a special parameter line.