Pith Number

pith:ZSGKSLYP

pith:2026:ZSGKSLYPAXCLOTL77BVBQYQPQI

not attested not anchored not stored refs pending

Half-Spacetime Gauging of 2-Group Symmetry in 3d

Davide Bason, Lorenzo Ruggeri, Wei Cui

Half-spacetime gauging of a 2-group symmetry in (2+1)d theories produces non-invertible duality defects with explicit fusion rules.

arxiv:2605.06287 v2 · 2026-05-07 · hep-th

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\pithnumber{ZSGKSLYPAXCLOTL77BVBQYQPQI}

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Claims

C1strongest claim

We construct a class of non-invertible duality defects, in (2+1)d quantum field theories, arising from half-spacetime gauging of a 2-group symmetry. ... When the parent theory possesses three such symmetries with a cyclic anomaly structure, gauging different factors can produce mutually dual theories and the half-spacetime gauging of the 2-group is implemented by a non-invertible duality defect, whose fusion rules we obtain.

C2weakest assumption

The parent theory possesses two (or three) discrete and Abelian 0-form symmetries with a prescribed mixed anomaly that allows the gauging procedure to produce a 2-group symmetry or non-invertible symmetry as stated.

C3one line summary

Half-spacetime gauging of 2-group symmetries in (2+1)d QFTs produces non-invertible duality defects whose fusion rules are derived explicitly from parent theories with mixed anomalies.

Receipt and verification

First computed	2026-05-26T02:05:10.184796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc8ca92f0f05c4b74d7ff86a18620f8201439cd47e86afbaad5a215ce2ec787d

Aliases

arxiv: 2605.06287 · arxiv_version: 2605.06287v2 · doi: 10.48550/arxiv.2605.06287 · pith_short_12: ZSGKSLYPAXCL · pith_short_16: ZSGKSLYPAXCLOTL7 · pith_short_8: ZSGKSLYP

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZSGKSLYPAXCLOTL77BVBQYQPQI \
  | 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: cc8ca92f0f05c4b74d7ff86a18620f8201439cd47e86afbaad5a215ce2ec787d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c099093a2ede587fb082ec9253daecec4df7e73c4f18629bb7d3602cff3d79a1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-07T13:56:33Z",
    "title_canon_sha256": "36f55b50c70f06d2b749ee51051e48b4556dd53c510d450c167b4c6c23b89740"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.06287",
    "kind": "arxiv",
    "version": 2
  }
}