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Main Authors: Akhond, Mohammad, Bianchi, Massimo, Cristofaro, Antonio, Riccioni, Fabio
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2604.27815
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author Akhond, Mohammad
Bianchi, Massimo
Cristofaro, Antonio
Riccioni, Fabio
author_facet Akhond, Mohammad
Bianchi, Massimo
Cristofaro, Antonio
Riccioni, Fabio
contents An asymptotically flat spacetime in $D=4$ can be mapped via Couch-Torrence conformal inversion to the geometry around an extremal non-expanding and non-rotating horizon. At the linearized level, an infinite tower of conserved Newman-Penrose charges can be found at null-infinity, while infinitely many Aretakis charges are conserved in the near-horizon. Couch-Torrence inversion allows one to establish a matching between the two sets of asymptotic charges. In this work we construct the Newman-Penrose and Aretakis scalar charges in higher-dimensional geometries of D3-branes in $D=10$ and D3-brane bound states in $D=4$ and $D=5$ and establish a precise matching between them through the inversion. By exploiting the residual unbroken supersymmetry of Type IIB supergravity, we demonstrate that it is possible to relate scalar (complex dilaton) charges to higher spin charges. In particular, we determine infinite towers of conserved asymptotic spinorial charges associated with the dilatino fluctuations, and determine the map through inversion.
format Preprint
id arxiv_https___arxiv_org_abs_2604_27815
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Couch-Torrence conformal inversion, supersymmetry and conserved charges for D3-branes
Akhond, Mohammad
Bianchi, Massimo
Cristofaro, Antonio
Riccioni, Fabio
High Energy Physics - Theory
An asymptotically flat spacetime in $D=4$ can be mapped via Couch-Torrence conformal inversion to the geometry around an extremal non-expanding and non-rotating horizon. At the linearized level, an infinite tower of conserved Newman-Penrose charges can be found at null-infinity, while infinitely many Aretakis charges are conserved in the near-horizon. Couch-Torrence inversion allows one to establish a matching between the two sets of asymptotic charges. In this work we construct the Newman-Penrose and Aretakis scalar charges in higher-dimensional geometries of D3-branes in $D=10$ and D3-brane bound states in $D=4$ and $D=5$ and establish a precise matching between them through the inversion. By exploiting the residual unbroken supersymmetry of Type IIB supergravity, we demonstrate that it is possible to relate scalar (complex dilaton) charges to higher spin charges. In particular, we determine infinite towers of conserved asymptotic spinorial charges associated with the dilatino fluctuations, and determine the map through inversion.
title Couch-Torrence conformal inversion, supersymmetry and conserved charges for D3-branes
topic High Energy Physics - Theory
url https://arxiv.org/abs/2604.27815