pith:UIAFGFQK
Krylov Correlators in $\mathfrak{sl}(2,\mathbb R)$ Models: Exact Results and Holographic Complexity
Certain out-of-time-ordered Krylov correlators are proportional to radial momenta of an infalling particle in the BTZ black hole.
arxiv:2605.17550 v1 · 2026-05-17 · hep-th
Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UIAFGFQKDYMU4GU4FNVWUP7P3Y}
Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge
Record completeness
Claims
certain out-of-time-ordered correlators of two or more Krylov speed operators at different times are proportional to combinations of the proper radial momenta of a particle falling into the BTZ black hole in AdS₃, evaluated at those times.
The semiclassical complexity-momentum correspondence established exactly for the BTZ black hole can be extended to higher Krylov complexities and their correlators without additional model-specific corrections or loss of the direct proportionality.
Exact Krylov correlators in sl(2,R) models are proportional to proper radial momenta of infalling particles in BTZ black holes, extending the complexity-momentum correspondence to include fluctuations.
References
Formal links
Receipt and verification
| First computed | 2026-05-20T00:04:45.299909Z |
|---|---|
| Builder | pith-number-builder-2026-05-17-v1 |
| Signature | Pith Ed25519
(pith-v1-2026-05) · public key |
| Schema | pith-number/v1.0 |
Canonical hash
a20053160a1e194e1a9c2b6b6a3fefde35fdd75333c5e0bfec0859881d2c555b
Aliases
· · · · ·Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UIAFGFQKDYMU4GU4FNVWUP7P3Y \
| 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: a20053160a1e194e1a9c2b6b6a3fefde35fdd75333c5e0bfec0859881d2c555b
Canonical record JSON
{
"metadata": {
"abstract_canon_sha256": "52dc1336e12b5522080e37431d429664591a5858dd708ff4c40b9d6b3d8201b6",
"cross_cats_sorted": [],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"primary_cat": "hep-th",
"submitted_at": "2026-05-17T17:21:31Z",
"title_canon_sha256": "d9c48a10b89e5e02f4c6173deec24a74938e26e01ca993b422927a043df38af5"
},
"schema_version": "1.0",
"source": {
"id": "2605.17550",
"kind": "arxiv",
"version": 1
}
}