Pith. sign in

REVIEW 3 cited by

On type IIB supergravity action on $M^5 \times X^5$ solutions

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2206.14522 v3 pith:VJJ4S3EL submitted 2022-06-29 hep-th

classification hep-th
keywords actiontimessupergravitytermtypeevaluatedsolutionadditional
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

While the 10d type IIB supergravity action evaluated on AdS$_5\times S^5$ solution vanishes, the 5d effective action reconstructed from the equations of motion using $M^5 \times S^5$ compactification ansatz is proportional to the AdS$_5$ volume. The latter is consistent with the conformal anomaly interpretation in AdS/CFT context. We show that this paradox can be resolved if, in the case of $M^5 \times X^5$ topology, the 10d action contains an additional 5-form dependent "topological" term $\int F_{5M} \wedge F_{5X}$. The presence of this term is suggested also by gauge-invariance considerations in the PST formulation of type IIB supergravity action. We show that this term contributes to the 10d action evaluated on the D3-brane solution.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Ten-dimensional localization

    hep-th 2026-07 conditional novelty 7.0 of 10

    Equivariantly closed polyforms for type II Page fluxes and actions enable direct 10D localization of on-shell actions and flux quantization for minimally supersymmetric backgrounds.

  2. Holographic two-point functions of heavy operators revisited

    hep-th 2026-03 unverdicted novelty 7.0 of 10

    Holographic two-point functions of heavy operators are reproduced by adding boundary terms to the D3-brane action and by the Gibbons-Hawking-York term in LLM backgrounds, but only in coordinate dependence and without ...

  3. Type IIB Supergravity Action and Holography

    hep-th 2026-03 accept novelty 5.5 of 10

    A milder topological correction to the PST Type IIB action yields non-vanishing on-shell values matching holography for Lunin-Maldacena and AdS4 S-fold backgrounds.

Pith tools