Two-Centered Magical Charge Orbits

TL;DR

This paper classifies two-centered charge orbits in magical N=2 and N=8 supergravity theories using U-duality invariants, providing insights into the physical properties of two-centered black-hole systems.

Contribution

It introduces a classification of two-centered charge orbits based on U-duality invariants, revealing their structure in supergravity theories.

Findings

Seven U-duality invariants classify the charge orbits.

Invariants group into four under the horizontal symmetry SL(2,R).

The symplectic product controls mutual non-locality of centers.

Abstract

We determine the two-centered generic charge orbits of magical N = 2 and maximal N = 8 supergravity theories in four dimensions. These orbits are classified by seven U-duality invariant polynomials, which group together into four invariants under the horizontal symmetry group SL(2,R). These latter are expected to disentangle different physical properties of the two-centered black-hole system. The invariant with the lowest degree in charges is the symplectic product (Q1,Q2), known to control the mutual non-locality of the two centers.