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Topological regularization and self-duality in four-dimensional anti-de Sitter gravity

2 Pith papers cite this work. Polarity classification is still indexing.

2 Pith papers citing it
abstract

It is shown that the addition of a topological invariant (Gauss-Bonnet term) to the anti-de Sitter (AdS) gravity action in four dimensions recovers the standard regularization given by holographic renormalization procedure. This crucial step makes possible the inclusion of an odd parity invariant (Pontryagin term) whose coupling is fixed by demanding an asymptotic (anti) self-dual condition on the Weyl tensor. This argument allows to find the dual point of the theory where the holographic stress tensor is related to the boundary Cotton tensor as $T_{j}^{i}=\pm (\ell ^{2}/8\pi G)C_{j}^{i}$, which has been observed in recent literature in solitonic solutions and hydrodynamic models. A general procedure to generate the counterterm series for AdS gravity in any even dimension from the corresponding Euler term is also briefly discussed.

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hep-th 2

years

2026 1 2025 1

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UNVERDICTED 2

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representative citing papers

$\alpha'$ corrections to self-dual gravitational instantons

hep-th · 2026-05-14 · unverdicted · novelty 6.0

α' corrections leave the metric of self-dual instantons unmodified but correct the dilaton and axion fields via Gauss-Bonnet and Pontrjagin terms, with no net correction to the Euclidean action to first order.

Radiation in Fluid/Gravity and the Flat Limit

hep-th · 2025-08-02 · unverdicted · novelty 6.0

Establishes a holographic link between bulk gravitational radiation and dissipative corrections plus entropy production in boundary fluids, then constructs Carrollian analogues and celestial observables in the flat limit.

citing papers explorer

Showing 2 of 2 citing papers.

  • $\alpha'$ corrections to self-dual gravitational instantons hep-th · 2026-05-14 · unverdicted · none · ref 69 · internal anchor

    α' corrections leave the metric of self-dual instantons unmodified but correct the dilaton and axion fields via Gauss-Bonnet and Pontrjagin terms, with no net correction to the Euclidean action to first order.

  • Radiation in Fluid/Gravity and the Flat Limit hep-th · 2025-08-02 · unverdicted · none · ref 184 · internal anchor

    Establishes a holographic link between bulk gravitational radiation and dissipative corrections plus entropy production in boundary fluids, then constructs Carrollian analogues and celestial observables in the flat limit.