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<p>AdS<sub>3</sub>× S<sup>3</sup>× S<sup>3</sup> solutions warped over a Riemann surface, Σ, are indexed by a parameter, <i>γ</i>, that defines the superconformal algebra, <i>D</i>(2, 1; <i>γ</i>) ⨁ <i>D</i>(2, 1; <i>γ</i>) they preserve. We show that these solutions come from multiple back-reacted M2-M5 spikes, and that different values of <i>γ</i> correspond to different scaling limits of the same M2-M5 solutions. We find that when <i>γ</i> switches from positive to negative, the infrared region of the AdS<sub>3</sub> switches from the tip of spikes, far from the M5 branes, to the bottom of the spikes, far from the M2 branes. We also explain how the bubbling negative-<i>γ</i> solutions emerge from the geometric transition of multiple M2-M5 spikes.</p>

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Effervescent spikes in M-theory

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年6月25日

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  • Iosif Bena,
  • Raphaël Dulac,
  • Dimitrios Toulikas,
  • Nicholas P. Warner

摘要

AdS3× S3× S3 solutions warped over a Riemann surface, Σ, are indexed by a parameter, γ, that defines the superconformal algebra, D(2, 1; γ) ⨁ D(2, 1; γ) they preserve. We show that these solutions come from multiple back-reacted M2-M5 spikes, and that different values of γ correspond to different scaling limits of the same M2-M5 solutions. We find that when γ switches from positive to negative, the infrared region of the AdS3 switches from the tip of spikes, far from the M5 branes, to the bottom of the spikes, far from the M2 branes. We also explain how the bubbling negative-γ solutions emerge from the geometric transition of multiple M2-M5 spikes.