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  "slug": "corrected-condensation-indices-and-the-sixteen-fold-way-a-quantitative-bulk-boun",
  "title": "Corrected Condensation Indices and the Sixteen-Fold Way: A Quantitative Bulk-Boundary Dictionary for Ising-Type Anyon Condensates",
  "authors": [
    "Rowan Brad Quni-Gudzinas"
  ],
  "abstract": "A companion preprint (https://papers.qnfo.org/papers/a-two-index-framework-for-the-bulk-boundary-correspondence-of-anyon-condensation/) introduced computable indices for anyon condensation: the dimension ratio κ = D_C²/D_D², the chirality-sensitive index μ = 2 Δ c, and the non-Abelian fraction f_NA. We correct an arithmetic error in that work's Case III, the condensation of Ising × overlineIsing: the parent total quantum dimension satisfies D_C² = 16, not $14$, because the non-Abelian anyon (σ,barσ) has quantum dimension d_(σ,barσ) = √2·√2 = 2, contributing 2² = 4 to the sum. The condensing boson (ψ,barψ) fixes (σ,barσ), which splits into two Abelian child anyons, so the child is the toric code with D_D² = 4, giving the normal condensate ratio κ = 16/4 = 4 and a child-side non-Abelian fraction f_NA = 0, not 1/3. [...]",
  "abstract_markdown": "A companion preprint (https://papers.qnfo.org/papers/a-two-index-framework-for-the-bulk-boundary-correspondence-of-anyon-condensation/) introduced computable indices for anyon condensation: the dimension ratio $\\kappa = D_C^2/D_D^2$, the chirality-sensitive index $\\mu = 2\\,\\Delta c$, and the non-Abelian fraction $f_{\\mathrm{NA}}$. We correct an arithmetic error in that work's Case III, the condensation of $\\text{Ising} \\times \\overline{\\text{Ising}}$: the parent total quantum dimension satisfies $D_C^2 = 16$, not $14$, because the non-Abelian anyon $(\\sigma,\\bar\\sigma)$ has quantum dimension $d_{(\\sigma,\\bar\\sigma)} = \\sqrt{2}\\cdot\\sqrt{2} = 2$, contributing $2^2 = 4$ to the sum. The condensing boson $(\\psi,\\bar\\psi)$ fixes $(\\sigma,\\bar\\sigma)$, which splits into two Abelian child anyons, so the child is the toric code with $D_D^2 = 4$, giving the normal condensate ratio $\\kappa = 16/4 = 4$ and a child-side non-Abelian fraction $f_{\\mathrm{NA}} = 0$, not $1/3$. [...]",
  "date": "2026-10-09",
  "first_published": "2026-10-09",
  "last_revised": "2026-10-09T00:00:00Z",
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  "doi_url": null,
  "url": "https://papers.qnfo.org/papers/corrected-condensation-indices-and-the-sixteen-fold-way-a-quantitative-bulk-boun",
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    "titles": [
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        "title": "Corrected Condensation Indices and the Sixteen-Fold Way: A Quantitative Bulk-Boundary Dictionary for Ising-Type Anyon Condensates"
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        "description": "A companion preprint (https://papers.qnfo.org/papers/a-two-index-framework-for-the-bulk-boundary-correspondence-of-anyon-condensation/) introduced computable indices for anyon condensation: the dimension ratio κ = D_C²/D_D², the chirality-sensitive index μ = 2 Δ c, and the non-Abelian fraction f_NA. We correct an arithmetic error in that work's Case III, the condensation of Ising × overlineIsing: the parent total quantum dimension satisfies D_C² = 16, not $14$, because the non-Abelian anyon (σ,barσ) has quantum dimension d_(σ,barσ) = √2·√2 = 2, contributing 2² = 4 to the sum. The condensing boson (ψ,barψ) fixes (σ,barσ), which splits into two Abelian child anyons, so the child is the toric code with D_D² = 4, giving the normal condensate ratio κ = 16/4 = 4 and a child-side non-Abelian fraction f_NA = 0, not 1/3. [...]",
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