Pith Number

pith:R6VAN4XQ

pith:2026:R6VAN4XQRUDHL24CLCTTACLK2O

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Characterizing bulk properties of gapped phases by smeared boundary conformal field theories: Role of duality in unusual ordering

Shuma Nakashiba, Yoshiki Fukusumi

Smeared boundary CFTs characterize gapped phases whose symmetry modules differ from boundary critical phenomena.

arxiv:2605.07734 v2 · 2026-05-08 · hep-th · cond-mat.str-el · hep-ph · math-ph · math.MP

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Claims

C1strongest claim

the module of the gapped phases can be outside of that of boundary critical phenomena, whereas one can still calculate characterizing quantities by applying SBCFTs to the models. ... the resultant gapped phases usually spontaneously break non-group-like symmetry (or noninvertible symmetry). Our work provides systematic quantum field theoretic descriptions of such unusual phases with spontaneous symmetry breaking of non-group-like (or noninvertible) symmetries.

C2weakest assumption

That the established Higgs or Nambu-Goldstone type arguments on the duality imply that the natural basis for the gapped states should be constructed from a set of smeared Ishibashi states, which are unphysical in boundary critical phenomena, yet still allow calculation of characterizing quantities via SBCFTs.

C3one line summary

Gapped phases dual to massless RG flows exhibit unusual structures outside standard boundary CFT modules and typically break non-group-like symmetries, characterized via smeared boundary CFTs with an example in the tricritical Ising to Ising flow.

Receipt and verification

First computed	2026-05-20T01:05:15.832838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8faa06f2f08d0675eb8258a730096ad3b131567ae50ec3d91267808bdfb24464

Aliases

arxiv: 2605.07734 · arxiv_version: 2605.07734v2 · doi: 10.48550/arxiv.2605.07734 · pith_short_12: R6VAN4XQRUDH · pith_short_16: R6VAN4XQRUDHL24C · pith_short_8: R6VAN4XQ

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/R6VAN4XQRUDHL24CLCTTACLK2O \
  | 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: 8faa06f2f08d0675eb8258a730096ad3b131567ae50ec3d91267808bdfb24464

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "049f32ac484c26abe10f74a2fda3a27bfc6a753da871f5338780fb7e414404e0",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-08T13:41:03Z",
    "title_canon_sha256": "f221ca59bbb0cb159899f249073c0fa8a8e88b7b958d4647fe9f528e02a7d99f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.07734",
    "kind": "arxiv",
    "version": 2
  }
}