Pith Number

pith:HBQHCA47

pith:2026:HBQHCA47R3W5TRFXTWFXU7PG53

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Dimensional reduction of AdS3 Chern-Simons gravity: Schwarzian and affine boundary theories

Goffredo Chirco, Lucio Vacchiano, Patrizia Vitale

Symmetry reduction of AdS3 Chern-Simons gravity produces both standard Schwarzian and deformed affine boundary theories.

arxiv:2605.15293 v1 · 2026-05-14 · hep-th · gr-qc

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Record completeness

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3 Author claim open · sign in to claim

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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

On the boundary subspace A_τ=Φ, the universal one-dimensional action reproduces the standard Drinfel'd--Sokolov reduction in JT gravity which captures the Schwarzian boundary dynamics. On the generalized boundary A_τ=λ'Φ+u^{-1}∂_τ u, the same action instead yields a deformed Schwarzian functional with affine residual symmetry, naturally associated with a non-extremal or Rindler-type regime.

C2weakest assumption

The reduction requires that the gauge connection is invariant along the symmetry flow and that the two specific boundary conditions (A_τ=Φ and the generalized form) are admissible at the level of the variational principle for the parent 3D Chern-Simons theory.

C3one line summary

Symmetry reduction of 3D AdS Chern-Simons gravity on toroidal boundary yields two inequivalent 1D boundary theories: standard Schwarzian and affine-deformed Schwarzian with Kac-Moody extensions.

References

41 extracted · 41 resolved · 24 Pith anchors

[1] R. Jackiw,Lower dimensional gravity,Nucl. Phys. B252(1985) 343. – 21 – 1985

[2] Teitelboim,Gravitation and hamiltonian structure in two space-time dimensions,Phys 1983

[3] Models of AdS2 backreaction and holography 2015 · arXiv:1402.6334

[4] Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space 2016 · arXiv:1606.01857

[5] An investigation of AdS 2 back- reaction and holography 2016 · arXiv:1606.03438

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:00:51.090839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

386071039f8eedd9c4b79d8b7a7de6eec631471a560c34326c50e3f69fb52970

Aliases

arxiv: 2605.15293 · arxiv_version: 2605.15293v1 · doi: 10.48550/arxiv.2605.15293 · pith_short_12: HBQHCA47R3W5 · pith_short_16: HBQHCA47R3W5TRFX · pith_short_8: HBQHCA47

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/HBQHCA47R3W5TRFXTWFXU7PG53 \
  | 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: 386071039f8eedd9c4b79d8b7a7de6eec631471a560c34326c50e3f69fb52970

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc0722a90b1bb56de47a8e85ff0d3395c86bd27f18530e18f0ee518d8fc14f34",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-14T18:08:12Z",
    "title_canon_sha256": "91fc29da71dba10ee40998e454caccfef81afddb3de1456f0e5030ff9cc47434"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15293",
    "kind": "arxiv",
    "version": 1
  }
}