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Stability of baryonic black membranes

Alex Buchel

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Phys. Rev. D 113, 066010 – Published 16 March, 2026

DOI: https://doi.org/10.1103/jhby-p5xf

Abstract

Near-extremal black membranes with topological (baryonic) U(1)B charge of M theory compactified on the coset space M1,1,0 are stable. M1,1,0 coset is a Z2-invariant truncation of a larger Q1,1,1 coset, with diagonal U(1)B≡U(1)B,+⊂U(1)B2 symmetry of the latter. We show that the baryonic black membranes of M-theory M1,1,0 compactifications are unstable to Z2-odd gravitational bulk gauge and scalar fluctuations, but only if this bulk scalar is identified with the holographically dual 2+1-dimensional superconformal gauge theory operator of conformal dimension Δ=1. The instability is associated with the unstable charge transport of the off-diagonal U(1)B,−⊂U(1)B2 symmetry.

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Phys. Rev. D 113, 066010– Published 16 March, 2026
  • Received 9 January 2026
  • Accepted 25 February 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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