An unusual BPS equation

TL;DR

This paper proves a conjecture linking energy-momentum and displacement norms of superconformal defects, revealing supersymmetry's role in defining brane tension and implications for radiation in Anti-de Sitter gravity.

Contribution

It completes the proof of a conjectured relation and shows supersymmetry's role in unifying notions of brane tension in Anti-de Sitter space.

Findings

Confirmed the relation between energy-momentum and displacement norms.

Demonstrated supersymmetry's identification of brane tension.

Showed modified energy-momentum tensor ensures radiation obeys Null Energy Condition.

Abstract

We prove a conjectured relation between the energy-momentum and the displacement norm of superconformal defects. The proof completes earlier results, and shows that supersymmetry identifies two natural notions of brane tension in Anti-de Sitter gravity. As a byproduct we show that a modification of the energy-momentum tensor that removes the stress of static superconformal defects, ensures also that the radiation these emit obeys the Null Energy Condition. This sheds new light on the radiation-reaction problem for moving charges.