{
  "$schema": "/data/schemas/qft-protected-scft-export-1.0.0.schema.json",
  "schema_id": "qft.org/protected-scft-export/n1",
  "schema_version": "1.0.0",
  "record_version": "1.0.0",
  "profile": {
    "kind": "four-dimensional N=1 specialization",
    "generic_envelope_owner": "/supersymmetry-duality/protected-operators-defects-correspondences/protected-data-versioned-exports/",
    "profile_owner": "/supersymmetry-duality/n1-duality-rg-scft/protected-scft-data-bootstrap-export/",
    "relation": "this profile specializes, rather than competes with, the generic content-addressed protected-data envelope"
  },
  "theory": {
    "id": "qft.scft-candidate.n1-sqcd.su3-nf6-origin",
    "name": "candidate interacting SU(3) SQCD fixed point with Nf=6 at the origin",
    "spacetime_dimension": 4,
    "supersymmetry": "N=1",
    "superconformal_algebra": "SU(2,2|1)",
    "gauge_global_form": "simply connected SU(3)",
    "faithful_zero_form_flavor_group": "[SU(6)_L x SU(6)_R x U(1)_B]/[Z_6 x Z_3]",
    "faithful_kernel": "(z,z,exp(i beta))=(z,z,omega*z^(-1)), z^6=1, omega^3=1; its matter action equals the SU(3) gauge-center action",
    "deformation_point": "massless origin with vanishing superpotential",
    "free_factors": [],
    "topological_factors": "none asserted",
    "claim_status": "all algebraic values are exact conditional on the standard interacting fixed-point identification and its baryon-unmixed superconformal R-current"
  },
  "observable": {
    "kind": "protected_theory_card",
    "sectors": [
      "Weyl and flavor anomalies",
      "N=1 chiral primaries"
    ],
    "arguments": "origin of the massless SQCD moduli space"
  },
  "values": {
    "anomaly_traces": {
      "TrR": "-10",
      "TrR3": "7/2"
    },
    "central_charges": {
      "a": "123/64",
      "c": "163/64"
    },
    "two_point_coefficients": {
      "C_T": "815/(8*pi^4)",
      "tau_SU6_L": "9/4",
      "tau_SU6_R": "9/4",
      "tau_B_for_B_of_Q_equal_1": "54"
    }
  },
  "protected_operators": [
    {
      "identity": "meson M^i_jtilde",
      "uv_expression": "Q^i Q-tilde_jtilde",
      "lorentz_CDI": "[0;0]",
      "multiplet_CDI": "L\\bar B_1[0;0]_{Delta=3/2}^{(R=1)}",
      "R": "1",
      "Delta": "3/2",
      "flavor_representation": "(6,6-bar)_0",
      "representation_dimension": 36,
      "copy_multiplicity": 1,
      "recombination": {
        "status": "absolutely protected",
        "reason": "CDI scalar chiral class with 2/3<R<2; no long-multiplet recombination partner at fixed R"
      },
      "mixing": {
        "basis": [
          "M^i_jtilde"
        ],
        "gram_matrix": "<M^i_jtilde(x) (M^dagger)_k^ltilde(0)>=delta^i_k delta^ltilde_jtilde/|x|^3",
        "status": "one protected operator species in this representation; the displayed unit Gram matrix is a chosen basis normalization, not a dynamical prediction"
      }
    },
    {
      "identity": "baryon B",
      "uv_expression": "epsilon Q^3",
      "lorentz_CDI": "[0;0]",
      "multiplet_CDI": "L\\bar B_1[0;0]_{Delta=9/4}^{(R=3/2)}",
      "R": "3/2",
      "Delta": "9/4",
      "flavor_representation": "(wedge^3 6,1)_{+3}",
      "representation_dimension": 20,
      "copy_multiplicity": 1,
      "recombination": {
        "status": "absolutely protected",
        "reason": "CDI scalar chiral class with 2/3<R<2; no long-multiplet recombination partner at fixed R"
      },
      "mixing": {
        "basis": [
          "B"
        ],
        "gram_matrix": null,
        "status": "stored separately from the antibaryon; unit two-point normalization is not supplied"
      }
    },
    {
      "identity": "antibaryon B-tilde",
      "uv_expression": "epsilon Q-tilde^3",
      "lorentz_CDI": "[0;0]",
      "multiplet_CDI": "L\\bar B_1[0;0]_{Delta=9/4}^{(R=3/2)}",
      "R": "3/2",
      "Delta": "9/4",
      "flavor_representation": "(1,wedge^3 6-bar)_{-3}",
      "representation_dimension": 20,
      "copy_multiplicity": 1,
      "recombination": {
        "status": "absolutely protected",
        "reason": "CDI scalar chiral class with 2/3<R<2; no long-multiplet recombination partner at fixed R"
      },
      "mixing": {
        "basis": [
          "B-tilde"
        ],
        "gram_matrix": null,
        "status": "stored separately from the baryon; unit two-point normalization is not supplied"
      }
    }
  ],
  "protection": {
    "anomaly_values": "RG-invariant 't Hooft anomalies of the candidate exact R-current",
    "chiral_dimensions": "Delta=3R/2 from N=1 superconformal shortening",
    "multiplet_status": "CDI four-dimensional N=1 labels and recombination rules, arXiv:1612.00809v1, Sections 2.2.1 and 4.5"
  },
  "conventions": {
    "lorentz_labels": {
      "stored": "CDI integer Dynkin labels [j_CDI;jbar_CDI]",
      "forward": "j_CDI=2*j_spin",
      "inverse": "j_spin=j_CDI/2"
    },
    "chiral_dimension": {
      "forward": "Delta=3*R/2",
      "inverse": "R=2*Delta/3"
    },
    "generator_trace": "tr_fund(T^a T^b)=delta^{ab}/2",
    "anomaly_trace": "sum over left-handed Weyl fermions; a chiral superfield of scalar charge R_Phi contributes fermion charge R_Phi-1",
    "stress_tensor_two_point": {
      "definition": "<T_mn(x) T_rs(0)>=C_T I_mn,rs(x)/|x|^8, I_mn,rs=(I_mr I_ns+I_ms I_nr)/2-delta_mn delta_rs/4, I_mn=delta_mn-2 x_m x_n/x^2",
      "forward": "C_T=40*c/pi^4",
      "inverse": "c=pi^4*C_T/40"
    },
    "flavor_current_two_point": {
      "definition": "<J_m^a(x) J_n^b(0)>=3*tau^{ab} I_mn(x)/(4*pi^4*|x|^6)",
      "forward": "tau^{ab}=-3*Tr(R T^a T^b)",
      "inverse": "Tr(R T^a T^b)=-tau^{ab}/3"
    }
  },
  "convention_hash": {
    "algorithm": "sha256",
    "canonicalization": "RFC 8785",
    "value": "81124c40cb39131147e94235022cbcea42222795e2a4e4c4842936fc212bfd95"
  },
  "normalization_maps": [
    {
      "id": "chiral_R_Delta",
      "domain": "declared chiral primary",
      "forward": "Delta=3*R/2",
      "inverse": "R=2*Delta/3",
      "test": {
        "R": "1",
        "Delta": "3/2"
      }
    },
    {
      "id": "spin_to_CDI",
      "domain": "four-dimensional Lorentz spin",
      "forward": "j_CDI=2*j_spin",
      "inverse": "j_spin=j_CDI/2",
      "test": {
        "j_spin": "0",
        "j_CDI": "0"
      }
    },
    {
      "id": "c_to_C_T",
      "domain": "stored stress-tensor convention",
      "forward": "C_T=40*c/pi^4",
      "inverse": "c=pi^4*C_T/40",
      "test": {
        "c": "163/64",
        "C_T": "815/(8*pi^4)"
      }
    },
    {
      "id": "anomaly_to_tau",
      "domain": "stored flavor-current convention",
      "forward": "tau=-3*Tr(R*T*T)",
      "inverse": "Tr(R*T*T)=-tau/3",
      "test": {
        "anomaly": "-3/4",
        "tau": "9/4"
      }
    },
    {
      "id": "R_traces_to_a_c",
      "domain": "four-dimensional N=1 SCFT",
      "forward": [
        "a=3*(3*TrR3-TrR)/32",
        "c=(9*TrR3-5*TrR)/32"
      ],
      "inverse": [
        "TrR=16*(a-c)",
        "TrR3=16*(5*a-3*c)/9"
      ],
      "test": {
        "TrR": "-10",
        "TrR3": "7/2",
        "a": "123/64",
        "c": "163/64"
      }
    }
  ],
  "scope": {
    "includes": [
      "R, Delta, a, c, C_T, tau_F",
      "three selected chiral multiplet identities and exact flavor representations"
    ],
    "excludes": [
      "unit-normalized non-Ward OPE coefficients",
      "index coefficients or unsigned multiplicities",
      "partition functions",
      "long-multiplet gaps",
      "a complete external-correlator or crossing problem",
      "fixed-point existence or uniqueness proof"
    ],
    "allowed_downstream_claim": "initialize only the stored protected numbers and representation identities after reproducing the schema, content hash, convention hash and inverse-map tests"
  },
  "sources": [
    {
      "id": "seiberg-1995",
      "revision": "arXiv:hep-th/9411149v1",
      "url": "https://arxiv.org/pdf/hep-th/9411149v1",
      "locator": "Sections 2-3, printed pp. 4-12",
      "use": "SQCD fixed-point charges and duality evidence",
      "citation_identity_sha256": "4f96fc0270e08d7b1b3af5a3af48d6e958a17abb0d9b4113f07816ae10c84baf",
      "content_sha256": null,
      "content_hash_status": "the external bytes are not vendored; the versioned citation identity, locator and record content hash are frozen"
    },
    {
      "id": "anselmi-et-al-1998",
      "revision": "arXiv:hep-th/9708042v1",
      "url": "https://arxiv.org/pdf/hep-th/9708042v1",
      "locator": "Sections 2-4",
      "use": "central and flavor-current anomaly formulas",
      "citation_identity_sha256": "c83df6c6fb7e0ca948f75f618ec46cbd4a5f5abdac6de4e4342ae44dad6bbdd3",
      "content_sha256": null,
      "content_hash_status": "the external bytes are not vendored; the versioned citation identity, locator and record content hash are frozen"
    },
    {
      "id": "intriligator-wecht-2003",
      "revision": "arXiv:hep-th/0304128v3",
      "url": "https://arxiv.org/pdf/hep-th/0304128v3",
      "locator": "Section 1, equations (1.5)-(1.8)",
      "use": "exact R-current and local maximum",
      "citation_identity_sha256": "89ebf024a1b0476e0a72b10063cee3ced0259d16348a10fce2339e6ec1a6b254",
      "content_sha256": null,
      "content_hash_status": "the external bytes are not vendored; the versioned citation identity, locator and record content hash are frozen"
    },
    {
      "id": "cordova-dumitrescu-intriligator-2016",
      "revision": "arXiv:1612.00809v1",
      "url": "https://arxiv.org/pdf/1612.00809v1",
      "locator": "Sections 2.2.1 and 4.5",
      "use": "multiplet labels, shortening and recombination",
      "citation_identity_sha256": "561e0ea27a71a9b68a685ce29993fda689c85340e14bccbe012e003c687f620a",
      "content_sha256": null,
      "content_hash_status": "the external bytes are not vendored; the versioned citation identity, locator and record content hash are frozen"
    },
    {
      "id": "qft-profile-owner",
      "revision": "2026-08-24",
      "route": "/supersymmetry-duality/n1-duality-rg-scft/protected-scft-data-bootstrap-export/",
      "citation_identity_sha256": "128010019a798b0a3beb031823f122a5246104024937f75d619bfb568da97956"
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    {
      "id": "qft-generic-envelope-owner",
      "revision": "2026-08-24",
      "route": "/supersymmetry-duality/protected-operators-defects-correspondences/protected-data-versioned-exports/",
      "citation_identity_sha256": "580fdb11da2878cb6e6d553576df40d10a83c32bdaa6ce7ef792b3064509a714"
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  ],
  "source_cutoff": "2026-08-24",
  "uncertainty": {
    "kind": "exact algebraic values conditional on a duality-supported dynamical identification",
    "numerical_covariance": null,
    "dynamical_assumption": "existence and uniqueness of the proposed interacting fixed point are not established by the exported anomaly calculation"
  },
  "unresolved": [
    "unit-normalized baryon and antibaryon Gram matrices and non-Ward OPE coefficients",
    "superconformal-index decomposition and recombination inversion",
    "background, contour, counterterm, contact-term and global-sector data for partition functions",
    "long-multiplet spectrum, gaps and crossing feasibility"
  ],
  "content_hash": {
    "algorithm": "sha256",
    "canonicalization": "RFC 8785",
    "excluded_field": "content_hash",
    "value": "68a67e66c43e4d0a258f0d26b0b9c08c6164922be256a41112bb5761ee582910"
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}