On stability of baryonic black membranes

TL;DR

This paper investigates the stability of baryonic black membranes in M-theory compactified on the coset space M^{1,1,0}, revealing conditions under which they become unstable due to specific bulk fluctuations related to dual gauge theory operators.

Contribution

It demonstrates the instability of baryonic black membranes in M-theory on M^{1,1,0} caused by Z_2-odd fluctuations linked to dual operators of conformal dimension 1.

Findings

Black membranes are unstable to certain bulk fluctuations.

Instability occurs when dual operators have conformal dimension 1.

Charge transport instability is associated with off-diagonal U(1) symmetry.

Abstract

Near-extremal black membranes with topological (baryonic) $U(1)_B$ charge of M-theory compactified on the coset space $M^{1,1,0}$ are stable. $M^{1,1,0}$ coset is a ${\mathbb Z}_2$-invariant truncation of a larger $Q^{1,1,1}$ coset, with diagonal $U(1)_B\equiv U(1)_{B,+}\subset U(1)_B^2$ symmetry of the latter. We show that the baryonic black membranes of M-theory $M^{1,1,0}$ compactifications are unstable to ${\mathbb Z}_2$-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 $\Delta=1$. The instability is associated with the unstable charge transport of the off-diagonal $U(1)_{B,-}\subset U(1)_B^2$ symmetry.