Pith Number

pith:SOHYW7TD

pith:2025:SOHYW7TD342QOHJLEAHJKJFLXU

not attested not anchored not stored refs resolved

Infinite Dimensional Topological-Holomorphic Symmetry in Three-Dimensions

Hank Chen, Joaquin Liniado

A three-dimensional quantum field theory can carry an infinite-dimensional symmetry given by a centrally extended affine graded Lie algebra.

arxiv:2507.01858 v4 · 2025-07-02 · hep-th · math-ph · math.MP

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Upon performing radial quantization, we construct the Fock space of the theory and, via a three-dimensional analogue of the state-operator correspondence, we demonstrate that the algebra of local operators is endowed with the structure of a raviolo vertex algebra.

C2weakest assumption

That a centrally extended affine graded Lie algebra can be realized as the symmetry algebra of a consistent, anomaly-free three-dimensional quantum field theory.

C3one line summary

A 3D QFT is defined with infinite-dimensional topological-holomorphic symmetry from a centrally extended affine graded Lie algebra, yielding a raviolo vertex algebra for its local operators after radial quantization.

References

44 extracted · 44 resolved · 7 Pith anchors

[1] Infi- nite Conformal Symmetry in Two-Dimensional Quantum Field Theory 1984 · doi:10.1016/0550-3213(84)90052-x

[3] Lectures on the Infrared Structure of Gravity and Gauge Theory 2017 · arXiv:1703.05448

[4] Celestial Holog- raphy 2021

[5] Celestial holography meets twisted holography: 4d amplitudes from chiral correlators 2022 · doi:10.1007/jhep10(2022)193

[6] Associativity of One-Loop Cor- rections to the Celestial Operator Product Expansion 2022 · doi:10.1103/physrevlett.129.231604

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-08T01:03:46.163442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

938f8b7e63df35071d2b200e9524abbd1507772537184065354a8104887a154b

Aliases

arxiv: 2507.01858 · arxiv_version: 2507.01858v4 · doi: 10.48550/arxiv.2507.01858 · pith_short_12: SOHYW7TD342Q · pith_short_16: SOHYW7TD342QOHJL · pith_short_8: SOHYW7TD

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SOHYW7TD342QOHJLEAHJKJFLXU \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 938f8b7e63df35071d2b200e9524abbd1507772537184065354a8104887a154b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "986567fdacc064575f4cff3ecef5fab6621af0f103259e9c2a919e7175857ed7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-07-02T16:17:39Z",
    "title_canon_sha256": "6522eac9506a6b121f61fa07ae14a9bd9bf45333e6897e054e42298823688baa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01858",
    "kind": "arxiv",
    "version": 4
  }
}