Pith Number

pith:3OALDKDB

pith:2026:3OALDKDBPPSLSZHLT4V2YG75T4

not attested not anchored not stored refs resolved

Invertible Symmetry and Spontaneous Duality Breaking in the Transverse-Field Ising Model

Jasper van Wezel, Jos\'e Dupont

Open boundaries make the transverse-field Ising duality exact and invertible.

arxiv:2605.13363 v1 · 2026-05-13 · cond-mat.str-el · quant-ph

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Record completeness

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4 Citations open

5 Replications open

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Claims

C1strongest claim

the exact duality necessitates the presence of an anomalous edge degree of freedom, thus realizing a duality rather than topology based bulk-boundary correspondence... the spontaneous breakdown of a global symmetry in terms of the original model can equivalently be described as spontaneously breaking a local symmetry in the dual system... we term this emergent distinction due to arbitrarily small environmental influences spontaneous duality breaking.

C2weakest assumption

That adjusting to open boundary conditions produces a unique invertible duality operator without additional hidden assumptions on the operator algebra or the physical embedding, and that the differing sensitivities to local perturbations are sufficient to explain the apparent violation of Elitzur's theorem without further dynamical details.

C3one line summary

Open-boundary transverse-field Ising model admits exact invertible duality, invertible critical symmetry, and spontaneous duality breaking from differing physical sensitivities to local perturbations.

References

33 extracted · 33 resolved · 0 Pith anchors

[1] (6) does not act

[2] + (ˆ11 −ˆσx 1 )(ˆ12 + ˆσz 2 ˆσx 2 ) . Here we defined the initial transformation on theN= 2 model, written in the eigenbasis of the ˆσz-operators, as: ˆU2 = 1 2   1 1 1 1 1−1−1 1 1 1−1−1 1−1 1−1 

[3] H. A. Kramers and G. H. Wannier, Statistics of the two- dimensional ferromagnet. part i, Physical Review60, 252 (1941) 1941

[4] J. M. Kosterlitz and D. J. Thouless, Ordering, metasta- bility and phase transitions in two-dimensional systems, Journal of Physics C: Solid State Physics6, 1181 (1973) 1973

[5] Fradkin, Disorder operators and their descendants, Journal of Statistical Physics167, 427–461 (2017) 2017

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T02:44:48.113102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db80b1a8617be4b964eb9f2bac1bfd9f12949b3b06ffd2723a8db8515d2ac1ac

Aliases

arxiv: 2605.13363 · arxiv_version: 2605.13363v1 · doi: 10.48550/arxiv.2605.13363 · pith_short_12: 3OALDKDBPPSL · pith_short_16: 3OALDKDBPPSLSZHL · pith_short_8: 3OALDKDB

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3OALDKDBPPSLSZHLT4V2YG75T4 \
  | 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: db80b1a8617be4b964eb9f2bac1bfd9f12949b3b06ffd2723a8db8515d2ac1ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc6bf18b4418d80e320b11ea748a9b17165bcdc34388dae8a022cc62a30a2aa7",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-05-13T11:24:09Z",
    "title_canon_sha256": "1f15232d2023f6d3008e20b5ecaa618a26f7d434532502c64479dcbf45bc634c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13363",
    "kind": "arxiv",
    "version": 1
  }
}