Pith Number

pith:S6F2Y2LK

pith:2026:S6F2Y2LKBV2LFLOQ2CPNCHWAJY

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Lattice Gauging Interfaces and Noninvertible Defects in Higher Dimensions

David Hofmeier, Giovanna Pimenta, Weiguang Cao

Explicit lattice constructions of gauging interfaces and condensation defects are given for higher-dimensional systems with higher-form symmetries, using movement operators to manage constrained Hilbert spaces.

arxiv:2605.12601 v1 · 2026-05-12 · cond-mat.str-el · hep-th

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4 Citations open

5 Replications open

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Claims

C1strongest claim

We construct explicit interface Hamiltonians for gauging a Z2^(0) symmetry in (2+1)d and a Z2^(1) symmetry in (3+1)d. In higher dimensions... we resolve this by introducing movement operators acting on a common unconstrained Hilbert space, which transport both the interface Hamiltonians and the associated constraints.

C2weakest assumption

That the movement operators can be defined to act consistently on the common unconstrained Hilbert space while correctly transporting both the interface Hamiltonians and the location-dependent constraints without introducing new inconsistencies or anomalies.

C3one line summary

References

81 extracted · 81 resolved · 8 Pith anchors

[1] Generalized Global Symmetries.JHEP, 02:172 2015 · doi:10.1007/jhep02(2015)172

[2] Notes on generalized global symmetries in QFT 2015 · doi:10.1002/prop.201500048

[3] Comments on One-Form Global Symmetries and Their Gauging in 3d and 4d 2019 · doi:10.21468/scipostphys.6.3.039

[4] Exploring 2-Group Global Symmetries 2019 · doi:10.1007/jhep02(2019)184

[5] Lake,Higher-form symmetries and spontaneous symmetry breaking(2018),1802 2018

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T03:10:00.991681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

978bac696a0d74b2add0d09ed11ec04e112e2c7443c7a1908424276e6534c8c1

Aliases

arxiv: 2605.12601 · arxiv_version: 2605.12601v1 · doi: 10.48550/arxiv.2605.12601 · pith_short_12: S6F2Y2LKBV2L · pith_short_16: S6F2Y2LKBV2LFLOQ · pith_short_8: S6F2Y2LK

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/S6F2Y2LKBV2LFLOQ2CPNCHWAJY \
  | 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: 978bac696a0d74b2add0d09ed11ec04e112e2c7443c7a1908424276e6534c8c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b37eba370f1c9755cab2fc3d084fadb7491f67907983eb1a86118207ab70cf53",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-05-12T18:00:04Z",
    "title_canon_sha256": "a8be2a36d54688f102db60c58cffcd032cd0287239972cb2df803fba506eeb9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12601",
    "kind": "arxiv",
    "version": 1
  }
}