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<p>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.</p>

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An unusual BPS equation

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月10日

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  • Constantin Bachas,
  • Lorenzo Bianchi,
  • Zhongwu Chen

摘要

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.