Pith Number

pith:SLCOCWKQ

pith:2026:SLCOCWKQ2W5NAHMJODLNAFAJMO

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Equivariant localization for higher derivative supergravity

Florian Gaar, James Sparks, Jerome P. Gauntlett, Pietro Benetti Genolini

Four-dimensional N=2 conformal supergravity admits equivariantly closed forms that compute exact supersymmetric observables in higher derivative theories without solving equations of motion.

arxiv:2604.08656 v1 · 2026-04-09 · hep-th

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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

We show that the D=4, N=2 theory admits equivariantly closed forms. These may be used to compute closed-form expressions for supersymmetric observables in a general class of supergravity theories with higher derivative couplings, without any need to solve equations of motion.

C2weakest assumption

That equivariantly closed forms exist in the D=4 N=2 conformal supergravity and can be applied to a general class of higher derivative theories to produce exact observables without solving the equations of motion.

C3one line summary

Equivariantly closed forms in D=4 N=2 conformal supergravity allow closed-form supersymmetric observables in higher derivative theories without solving equations of motion.

References

36 extracted · 36 resolved · 1 Pith anchors

[1] Equivariant localization for higher derivative supergravity 2026 · arXiv:2604.08656

[2] Equivariant Localization in Supergravity 2023

[3] Mohaupt, Black hole entropy, special geometry and strings, Fortsch 2001

[4] Black Hole Microstate Counting and its Macroscopic Counterpart 2010 · arXiv:1008.3801

[5] The Unreasonable Effectiveness of Higher-Derivative Supergravity in AdS4 Holography 2020

Cited by

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Receipt and verification

First computed	2026-07-03T01:17:20.327439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92c4e15950d5bad01d8970d6d0140963b9913896fb7a70185a498a133d5abf25

Aliases

arxiv: 2604.08656 · arxiv_version: 2604.08656v1 · doi: 10.48550/arxiv.2604.08656 · pith_short_12: SLCOCWKQ2W5N · pith_short_16: SLCOCWKQ2W5NAHMJ · pith_short_8: SLCOCWKQ

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SLCOCWKQ2W5NAHMJODLNAFAJMO \
  | 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: 92c4e15950d5bad01d8970d6d0140963b9913896fb7a70185a498a133d5abf25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5be64e8721c0b550ebf2dbb4193a2dfda808500858d78a875c633968dc94d96a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-04-09T18:00:01Z",
    "title_canon_sha256": "c7ec283420c75778b18899b343c8b60b109cae85550dafb814fc155b97773b8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.08656",
    "kind": "arxiv",
    "version": 1
  }
}