Pith Number

pith:V3KSTVQZ

pith:2026:V3KSTVQZJHVZBZTVYM77QSHPPN

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Holographic two-point functions of heavy operators revisited

Prokopii Anempodistov

The D3-brane action requires additional boundary terms to compute holographic two-point functions of heavy operators correctly.

arxiv:2603.28880 v4 · 2026-03-30 · hep-th

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Claims

C1strongest claim

We argue that the D3-brane action for the giant gravitons (as well as for their 1/4- and 1/8-BPS counterparts) should contain additional boundary terms which arise naturally from the path integral and which are required to make the variational problem well-defined. We derive the form of these terms and show that the corrected action has an on-shell value that reproduces the two-point function of the gauge theory operators.

C2weakest assumption

The assumption that the additional boundary terms arise naturally from the path integral, are required to make the variational problem well-defined, and that the on-shell value of the corrected action directly reproduces the gauge theory two-point function without further corrections or normalizations.

C3one line summary

Corrected D3-brane actions with path-integral boundary terms reproduce two-point functions of giant graviton operators, while GHY boundary terms yield correlators for Δ~N² operators in LLM geometries.

Formal links

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Cited by

2 papers in Pith

Boundary Layers and One-point Functions in the Presence of Monodromy Defects

Critical Lin-Lunin-Maldacena geometries

Receipt and verification

First computed	2026-07-02T01:18:07.809730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aed529d61949eb90e675c33ff848ef7b4111b4f6c3375c2f18391e7aab10c0f6

Aliases

arxiv: 2603.28880 · arxiv_version: 2603.28880v4 · doi: 10.48550/arxiv.2603.28880 · pith_short_12: V3KSTVQZJHVZ · pith_short_16: V3KSTVQZJHVZBZTV · pith_short_8: V3KSTVQZ

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/V3KSTVQZJHVZBZTVYM77QSHPPN \
  | 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: aed529d61949eb90e675c33ff848ef7b4111b4f6c3375c2f18391e7aab10c0f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeebf60815aab44b562c6a8316eda37ed33f403a1ebd901e61e217fd0e61c27a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-03-30T18:03:39Z",
    "title_canon_sha256": "22397c471374aebb0d71907be68081e23fcb4b8f79ddec1168e006c10f717469"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.28880",
    "kind": "arxiv",
    "version": 4
  }
}