Couch-Torrence conformal inversion, supersymmetry and conserved charges for D3-branes
4 affiliations
- 1INFN Sezione di Roma II
- 2University of Rome Tor Vergata
- 3Sapienza University of Rome
- 4INFN Sezione di Roma III
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.
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BibTeX
@article{akhond2026couchtorrence,
title = {{Couch-Torrence conformal inversion, supersymmetry and conserved charges for D3-branes}},
author = {Mohammad Akhond and Massimo Bianchi and Antonio Cristofaro and Fabio Riccioni},
journal = {SciPost},
year = {2026},
month = oct,
doi = {10.21468/scipostphys.21.4.105},
url = {http://scipost.org/SciPostPhys.21.4.105},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Couch-Torrence conformal inversion, supersymmetry and conserved charges for D3-branes
AU - Mohammad Akhond
AU - Massimo Bianchi
AU - Antonio Cristofaro
AU - Fabio Riccioni
PY - 2026
DA - 2026/10/27
JO - SciPost
DO - 10.21468/scipostphys.21.4.105
UR - http://scipost.org/SciPostPhys.21.4.105
AB - 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.
SN - 2542-4653
ER -