Pith Number

pith:R2ANP7RP

pith:2026:R2ANP7RPZ52CW5MCLKVAZGGVQE

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Comments on higher-derivative corrections in the AdS/CFT duality

Makoto Natsuume

Some works on higher-derivative corrections in AdS/CFT use an inappropriate dictionary that can reverse predicted condensate behavior.

arxiv:2605.15478 v1 · 2026-05-14 · hep-th · gr-qc

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Claims

C1strongest claim

We point out that some works on higher-derivative corrections in the AdS/CFT duality use inappropriate 'AdS/CFT dictionary.' ... Whether the condensate increases or decreases under higher-derivative corrections depends on the system one considers, and there is no universality in this sense.

C2weakest assumption

The assumption that the standard AdS/CFT dictionary relating bulk fields to boundary observables remains valid without modification when higher-derivative terms are added to the bulk gravitational action.

C3one line summary

Prior works on higher-derivative corrections to holographic superconductors may employ an incorrect AdS/CFT dictionary, so that the direction of change in spontaneous condensate depends on the specific model with no universal rule.

References

30 extracted · 30 resolved · 17 Pith anchors

[1] Comments on higher-derivative corrections in the AdS/CFT duality 2026 · arXiv:2605.15478

[2] The constantN GB is used,e.g., in Ref. [16]. In the limitλ GB →0, the metric reduces to the 5-dimensional Schwarzschild-AdS (SAdS5) black hole ifN GB = 1. The Hawking temperature isπT=N GBr′ 0/L2. Eq.

[3] Second, one often uses the convention L2 eff ∼ L2 1 +λ GB .(9) 3 Finally, make the coordinate transformationr ′/L=r/L eff, orr=N GBr′

[4] Problems of previous works Previous works typically have the following 2 problems:

[5] AdS/CFT dictionary

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Cited by

2 papers in Pith

The dual Ginzburg-Landau theory for a holographic superfluid/superconductor: Critical dynamics

Comments on higher-derivative corrections in the AdS/CFT duality

Receipt and verification

First computed	2026-05-20T00:01:00.640185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e80d7fe2fcf742b75825aaa0c98d58136d399421126dfdca5e2a5da9198485d

Aliases

arxiv: 2605.15478 · arxiv_version: 2605.15478v1 · doi: 10.48550/arxiv.2605.15478 · pith_short_12: R2ANP7RPZ52C · pith_short_16: R2ANP7RPZ52CW5MC · pith_short_8: R2ANP7RP

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curl -sH 'Accept: application/ld+json' https://pith.science/pith/R2ANP7RPZ52CW5MCLKVAZGGVQE \
  | 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: 8e80d7fe2fcf742b75825aaa0c98d58136d399421126dfdca5e2a5da9198485d

Canonical record JSON

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    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-14T23:36:40Z",
    "title_canon_sha256": "c5d03bab9237aee44f61ad17dcff8983cfe4d0355dcbac9923ef103b5023b100"
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  "source": {
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    "kind": "arxiv",
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}