Work

Couch-Torrence conformal inversion, supersymmetry and conserved charges for D3-branes

Year: 2026

Type: article

Abstract: An asymptotically flat spacetime in D=4 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 D = 10 and D3-brane bound states in D=4 D = 4 and D=5 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 spinor and tensor charges. In particular, we determine infinite towers of conserved asymptotic spinorial charges associated with the dilatino fluctuations, and determine the map through inversion.

Source: SciPost Physics

DOI: 10.21468/scipostphys.21.4.105

Authors: Mohammad Akhond, Massimo Bianchi, Antonio Cristofaro, Fabio Riccioni

Institutions: University of Rome Tor Vergata, Istituto Nazionale di Fisica Nucleare, Roma Tor Vergata, Sapienza University of Rome, Istituto Nazionale di Fisica Nucleare, Sezione di Roma Tre

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: Instituto Nazionale di Fisica Nucleare

OpenAlex ID: W7159582831

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