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D=4 Super Yang Mills, D=5 gauged supergravity and D=4 conformal supergravity

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arxiv hep-th/9804083 v4 pith:6WANUPJF submitted 1998-04-13 hep-th

classification hep-th
keywords conformalsupergravityactionbackgroundtheorycomputeeffectivegauged
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider the role of N=4 conformal supergravity in the relation between N=4 SYM theory and D=5 gauged supergravity expanded near the Anti de Sitter background. We discuss the structure of the SYM effective action in conformal supergravity background, in particular, terms related to conformal anomaly. Solving the leading-order Dirichlet problem for the metric perturbation in AdS background we explicitly compute the bilinear graviton term in the D=5 Einstein action, demonstrating its equivalence to the linearized Weyl tensor squared part of the gravitational effective action induced by SYM theory. We also compute the graviton-dilaton-dilaton 3-point function which is found to have the form consistent with conformal invariance of the boundary theory.

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Cited by 4 Pith papers

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

  1. Extremal couplings, graviton exchange, and gluon scattering in AdS

    hep-th 2025-05 conditional novelty 8.0 of 10

    Extremal bulk couplings between graviton and gluon modes are computed in F-theory AdS/CFT, yielding the graviton exchange term and a complete 1/N² correlator for the D4 theory.

  2. Universal relation between $C_{T}$ and the CFT Weyl anomaly

    hep-th 2026-02 conditional novelty 6.0 of 10

    In any even-dimensional CFT, C_T = [d/(d−1)]·[(d+1)!/(d/2−1)!]·c, where c is the coefficient of the quadratic-in-Weyl term in the trace anomaly.

  3. Generalised Symmetries and Manifest Duality II: Curved Spacetime

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Extends potential-based duality-symmetric gauge theories to curved spacetime, reproducing gravitational anomalies and providing holographic boundary terms without manual addition.

  4. On anomaly free 4d $\mathcal{N}$=4 and 6d (2,0) conformal supergravities and UV finiteness of Poincar\'e supergravities

    hep-th 2026-02 unverdicted novelty 4.0 of 10

    Anomaly cancellation for specific multiplet numbers in conformal supergravities implies divergences proportional to n_v+2 in 4d PSG and n_T-21 in 6d PSG.

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