Pith Number

pith:Q3IL5FFS

pith:2026:Q3IL5FFSJDXXE65UXSB5U3VTFF

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Generalised Symmetries and Swampland-Type Constraints from Charge Quantisation via Rational Homotopy Theory

Hyungrok Kim, Luigi Alfonsi, William G. A. Luciani

The postulate that charge quantization is governed by a homotopy type implies swampland-type constraints on quantum field theories and requires contractible charge spaces in quantum gravity.

arxiv:2604.22656 v2 · 2026-04-24 · hep-th · math-ph · math.AT · math.MP

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4 Citations open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

the charge-quantisation postulate implies a number of non-trivial constraints on quantum field theories similar to those implied by swampland conjectures; in particular, it rules out noncompact gauge groups and one-form field strengths that form a non-nilpotent Lie algebra. [...] for theories of quantum gravity the space A must be contractible, in accordance with the swampland conjectures on the absence of global generalised symmetries and the completeness of the spectrum of charges

C2weakest assumption

The postulate that charge quantization is governed by a homotopy type A, refined to incorporate other currents including matter and equipped with a prescription for determining A.

C3one line summary

Refining charge quantization via a homotopy type A yields swampland-like constraints ruling out noncompact gauge groups and non-nilpotent one-form Lie algebras, and requires A to be contractible for quantum gravity theories.

Receipt and verification

First computed	2026-05-22T02:04:41.314111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86d0be94b248ef727bb4bc83da6eb3294d9fdf820244300a63c515c64f3077e6

Aliases

arxiv: 2604.22656 · arxiv_version: 2604.22656v2 · doi: 10.48550/arxiv.2604.22656 · pith_short_12: Q3IL5FFSJDXX · pith_short_16: Q3IL5FFSJDXXE65U · pith_short_8: Q3IL5FFS

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Q3IL5FFSJDXXE65UXSB5U3VTFF \
  | 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: 86d0be94b248ef727bb4bc83da6eb3294d9fdf820244300a63c515c64f3077e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f23c7137a7a5b80a6dcf5139749b1a5a9a58c2755ca81df6ee65b321e53ee243",
    "cross_cats_sorted": [
      "math-ph",
      "math.AT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-04-24T15:30:39Z",
    "title_canon_sha256": "5709308e2444476c2f83150d206307d3f5822ad2a6a23f7c6bbfec4537091234"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.22656",
    "kind": "arxiv",
    "version": 2
  }
}