Pith Number

pith:37NIMJY2

pith:2025:37NIMJY2MOB5DGAYFXSBP25JYZ

not attested not anchored not stored refs resolved

$L_\infty$-algebraic extensions of non-Lorentzian kinematical Lie algebras, gravities, and brane couplings

Hyungrok Kim

L∞-algebraic central extensions of kinematical Lie algebras produce towers of p-form fields for brane couplings.

arxiv:2512.06942 v2 · 2025-12-07 · hep-th · gr-qc · math-ph · math.MP

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Record completeness

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Claims

C1strongest claim

The sequence of L_∞-algebraic central extensions in each degree then corresponds to a tower of p-form fields. After imposing conventional constraints, the zero-form field provides absolute time, and the higher-form fields are certain wedge products of the field strengths of the one-form (Bargmann) gravitational field.

C2weakest assumption

That conventional constraints can be imposed on the L_infinity cocycles so that the resulting p-form fields remain consistent with the non-Lorentzian gravity equations and produce well-defined brane couplings without introducing new inconsistencies.

C3one line summary

L_infinity extensions of Galilean, Newton-Hooke and static algebras produce infinite towers of p-form fields that couple to torsionful non-Lorentzian gravities and yield WZW terms for (p-1)-branes via doubled coordinates.

References

70 extracted · 70 resolved · 35 Pith anchors

[1] Review on non-relativistic gravity.Frontiers in Physics, 11:1116888, March 2023.arXiv: 2212.11309,doi:10.3389/fphy.2023.1116888 2023 · doi:10.3389/fphy.2023.1116888

[2] A non-lorentzian primer.SciPost Physics Lecture Notes, 69:1, May 2023 2023 · doi:10.21468/scipostphyslectnotes.69

[3] Non-Lorentzian supergravity 2023 · doi:10.1007/978-981-19-3079-9_52-1

[4] Non-lorentzian spacetimes.Differential Geometry and its Applications, 82:101894, June 2022.arXiv:2204.13609, doi:10.1016/j.difgeo.2022.101894 2022 · doi:10.1016/j.difgeo.2022.101894

[5] Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited 2010 · arXiv:0909.2617

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:05:38.870361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfda86271a6383d198182de417eba9c67c5df9dc54b203496014b205476c2c24

Aliases

arxiv: 2512.06942 · arxiv_version: 2512.06942v2 · doi: 10.48550/arxiv.2512.06942 · pith_short_12: 37NIMJY2MOB5 · pith_short_16: 37NIMJY2MOB5DGAY · pith_short_8: 37NIMJY2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/37NIMJY2MOB5DGAYFXSBP25JYZ \
  | 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: dfda86271a6383d198182de417eba9c67c5df9dc54b203496014b205476c2c24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7b02163bc436aac4b526d2face0794ad3368f58e5500bd52941b9f40a665f40",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-12-07T17:49:43Z",
    "title_canon_sha256": "6706a98d0d1b07cd5f1c71c9d207ae253e61b170c037eb348820e639725f6145"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.06942",
    "kind": "arxiv",
    "version": 2
  }
}