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Some Cubic Couplings in Type IIB Supergravity on $AdS_5\times S^5$ and Three-point Functions in SYM_4 at Large N

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arxiv hep-th/9907085 v2 pith:OCFUMADX submitted 1999-07-12 hep-th

G.Arutyunov , S.Frolov This is my paper · ORCID
classification hep-th
keywords supergravitytimestypecouplingscubicfunctionsoperatorsthree-point
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

All cubic couplings in type IIB supergravity on $AdS_5\times S^5$ that involve two scalar fields $s^I$ that are mixtures of the five form field strength on $S^5$ and the trace of the graviton on $S^5$ are derived by using the covariant equations of motion and the quadratic action for type IIB supergravity on $AdS_5\times S^5$. All corresponding three-point functions in SYM$_4$ are calculated in the supergravity approximation. It is pointed out that the scalars $s^I$ correspond not to the chiral primary operators in the ${\cal N}=4$ SYM but rather to a proper extension of the operators.

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Cited by 3 Pith papers

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

  1. A universal W-algebra for N=4 super Yang-Mills

    hep-th 2025-06 conditional novelty 7.0 of 10

    Using associativity constraints from OPE bootstrapping, the authors give evidence for a one-parameter W-algebra W∞^{s,s} that conjecturally truncates to the VOA of 4d N=4 SU(N) super Yang-Mills at c = -3(N²-1).

  2. Heavy holographic correlators in defect conformal field theories

    hep-th 2026-01 unverdicted novelty 5.0 of 10

    Holographic probe-brane calculations produce defect one- and two-point functions of heavy scalars that match OPE and BOE limits.

  3. String theory methods for defect CFTs

    hep-th 2025-01 conditional novelty 2.0 of 10

    A review paper that re-presents earlier results on integrable probe-brane defects and holographic defect correlators without adding a new central result.

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