Twin condensable algebras are introduced as condensable algebras with identical anyon decompositions but inequivalent algebra structures, yielding distinct symmetric phases in group-theoretical topological orders.
Senthil, (2023), arXiv:2306.12638 [cond-mat.str-el]
10 Pith papers cite this work. Polarity classification is still indexing.
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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.
Spin-charge separation in 1D fermions enables partially gapped deconfined quantum critical points between locally ordered phases, inferred via field theory and supported by numerical analysis of a microscopic model.
Conformal bootstrap with a sparseness condition produces a cone whose apex matches QMC and fuzzy sphere data for the DQCP, supporting multicriticality via a relevant SO(5) singlet scalar.
Twin phases share generalized charges under a symmetry, so direct transitions between them are intrinsically beyond-Landau deconfined quantum critical points without hidden symmetry breaking.
Non-invertible symmetry-breaking phases are characterized by long-range order parameters obeying generalized algebra, with certain transitions dual to beyond-Landau points of invertible symmetries under precise conditions established via generalized gauging.
An 't Hooft anomaly at general imaginary baryon chemical potential constrains the QCD chiral transition to three minimal CFT scenarios, with the favored one for N_f >= 3 featuring a conformal manifold of theta_B-dependent universality classes with an exactly marginal operator tied to baryon density.
Ground-state expectation values of slow-momentum observables in QFTs can be approximated by averages over the critical fixed-point theories via fidelity-based hyperscaling relations.
With both random transverse and longitudinal fields present, RG trajectories flow to disordered fixed points and the correlation-length exponent at the infinite-disorder fixed point along the separatrix is approximately 1.
citing papers explorer
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Twin Algebras: Condensable Algebras beyond Anyons
Twin condensable algebras are introduced as condensable algebras with identical anyon decompositions but inequivalent algebra structures, yielding distinct symmetric phases in group-theoretical topological orders.
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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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Deconfined quantum critical points in fermionic systems with spin-charge separation
Spin-charge separation in 1D fermions enables partially gapped deconfined quantum critical points between locally ordered phases, inferred via field theory and supported by numerical analysis of a microscopic model.
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Bootstrap Cone of the Multicritical Deconfined Quantum Critical Point
Conformal bootstrap with a sparseness condition produces a cone whose apex matches QMC and fuzzy sphere data for the DQCP, supporting multicriticality via a relevant SO(5) singlet scalar.
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Twin Phases: Intrinsic Deconfined Quantum Criticality
Twin phases share generalized charges under a symmetry, so direct transitions between them are intrinsically beyond-Landau deconfined quantum critical points without hidden symmetry breaking.
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Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions
Non-invertible symmetry-breaking phases are characterized by long-range order parameters obeying generalized algebra, with certain transitions dual to beyond-Landau points of invertible symmetries under precise conditions established via generalized gauging.
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Does hot QCD have a conformal manifold in the chiral limit?
An 't Hooft anomaly at general imaginary baryon chemical potential constrains the QCD chiral transition to three minimal CFT scenarios, with the favored one for N_f >= 3 featuring a conformal manifold of theta_B-dependent universality classes with an exactly marginal operator tied to baryon density.
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Hyperscaling of Fidelity and Operator Estimations in the Critical Manifold
Ground-state expectation values of slow-momentum observables in QFTs can be approximated by averages over the critical fixed-point theories via fidelity-based hyperscaling relations.
-
Random transverse and longitudinal field Ising chains
With both random transverse and longitudinal fields present, RG trajectories flow to disordered fixed points and the correlation-length exponent at the infinite-disorder fixed point along the separatrix is approximately 1.
- Numerical evidence of a critical point in the (2+1)D SO(5) nonlinear sigma model with Wess-Zumino-Witten term