Effervescent Spikes in M-theory

TL;DR

This paper explores a family of warped AdS3 solutions in M-theory, revealing their origin from M2-M5 brane spikes and how different parameters relate to various geometric limits and transitions.

Contribution

It demonstrates that AdS3 solutions are derived from back-reacted M2-M5 spikes and connects the parameter  to different scaling limits and geometric transitions.

Findings

Solutions are indexed by , defining the superconformal algebra.

Different  values correspond to distinct geometric limits of M2-M5 solutions.

Negative- solutions emerge from geometric transitions of M2-M5 spikes.

Abstract

AdS$_3 \times$ S$^3 \times$ S$^3$ solutions warped over a Riemann surface, $\Sigma$, are indexed by a parameter, $\gamma$, that defines the superconformal algebra, $D(2,1; \gamma) \oplus D(2,1; \gamma)$ they preserve. We show that these solutions come from multiple back-reacted M2-M5 spikes, and that different values of $\gamma$ correspond to different scaling limits of the same M2-M5 solutions. We find that when $\gamma$ switches from positive to negative, the infrared region of the AdS$_3$ 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-$\gamma$ solutions emerge from the geometric transition of multiple M2-M5 spikes.