Schreiber Holographic M-Brane Super-Embeddings

An article that we are finalizing at CQTS:

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• Grigorios Giotopoulos, $\;$ Hisham Sati $\;$ and $\,$ Urs Schreiber:

  
  

  Holographic M-Brane Super-Embeddings

  
  

  download:

  • pdf (v2)

  • arXiv:2408.09921

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Abstract. Over a decade before the modern formulation of AdS/CFT duality, Duff et al. had observed a candidate microscopic explanation by identifying the CFT fields with fluctuations of probe $p$-branes stretched out in parallel near the horizon of their own black brane incarnation. A profound way to characterize these and more general probe $p$-branes configurations, especially for M5-branes, is expected to be as “super-embeddings” of their super-worldvolumes into target super-spacetime – but no concrete example of these had appeared in the literature.

Here we fill this gap by constructing the explicit holographic $1/2$-BPS super-embedding of probe M5-branes and M2-branes into their corresponding super-AdS backgrounds. The result seems to be novel and shows that the holographic M-probes, static with respect to the Poincaré chart, must sit exactly at the throat radius, $r \sim N^{1/(8-p)} \ell_P$.

Related articles:

• Flux Quantization on 11d Superspace

• Flux Quantization on M5-Branes

• Flux Quantization on Holographic M5-Branes