Pith Number

pith:3LK25WG5

pith:2026:3LK25WG5LPKJDQYWMBSLYZK76W

not attested not anchored not stored refs resolved

Gauging in superconductors and other electronic systems

Andrea Cappelli, Marcus Berg, Riccardo Villa

The Higgs model for superconductors reduces at low energies to BF theory with a spin_c gauge field, endowing them with a gravito-magnetic anomaly that forbids trivial massive phases.

arxiv:2604.18733 v1 · 2026-04-20 · hep-th · cond-mat.str-el

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4 Citations open

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Claims

C1strongest claim

At very low energies, the Higgs model reduces to the BF theory, which exhibits topological order. Furthermore, the gauge field must be a spin_c connection... Gauging implies that superconductors are inherently bosonic systems, yet they are endowed with a gravito-magnetic anomaly that is the remnant of their fermionic origin... This anomaly characterizes gauged electronic matter in great generality in three and four spacetime dimensions, forbidding trivial massive phases at low energy.

C2weakest assumption

The assumption that the low-energy limit of the Higgs model is exactly BF theory with the stated spin_c structure and that the gravito-magnetic anomaly survives beyond the Higgs regime without additional cancellations.

C3one line summary

Superconductors are bosonic at low energy yet carry a gravito-magnetic anomaly from fermion parity gauging that forbids trivial massive phases in 3D and 4D.

References

107 extracted · 107 resolved · 4 Pith anchors

[1] A. Altland and B. D. Simons,Condensed Matter Field Theory. Cambridge University Press, 2 ed., 2010 2010

[2] Fradkin,Field Theories of Condensed Matter Physics 2013

[3] Superconductivity for particular theorists 1986

[4] Superconductors are topologically or- dered 2004

[5] Generalized symmetries in condensed matter 2023

Receipt and verification

First computed	2026-06-19T16:11:23.279999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dad5aed8dd5bd491c3166064bc655ff596560ebb29ffc3c99e87a761e1781d24

Aliases

arxiv: 2604.18733 · arxiv_version: 2604.18733v1 · doi: 10.48550/arxiv.2604.18733 · pith_short_12: 3LK25WG5LPKJ · pith_short_16: 3LK25WG5LPKJDQYW · pith_short_8: 3LK25WG5

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3LK25WG5LPKJDQYWMBSLYZK76W \
  | 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: dad5aed8dd5bd491c3166064bc655ff596560ebb29ffc3c99e87a761e1781d24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26e4d3238b50c75c8b47e5458f47ef12f754390592b516f24a2038a2cc85222f",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-04-20T18:33:38Z",
    "title_canon_sha256": "8ff6748883cf2faaf9385362756e853dd93633b79a651a4ec919da03dc800315"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.18733",
    "kind": "arxiv",
    "version": 1
  }
}