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Instability in N=4 supersymmetric Yang-Mills theory on S3 at finite density

delete2026-07-02
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Alex Buchel
DOI:10.1016/j.nuclphysb.2026.117567delete
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Abstract

Abstract

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Homogeneous and isotropic equilibrium states of strongly coupled N=4 supersymmetric Yang-Mills charged plasma in R3 with equal chemical potentials for the maximal Abelian subgroup of the R-symmetry group become dynamically unstable below some critical temperature. The instabilities arise in the R-symmetry charge transport, precisely when the equilibrium state becomes thermodynamically unstable. We study the fate these correlated instabilities when the theory is placed on S3. The curvature of the three-sphere affects the onset of the dynamical and the thermodynamic instabilities differently: increasing the curvature at low temperatures can stabilize its transport, but leave the plasma thermodynamically unstable. Thermodynamic stability is never recovered provided the S3 volume is allowed to fluctuate. N=4 SYM is always thermodynamically unstable in the fixed-pressure ensemble on S3 as well.
Keywords:
AdS/CFT correspondence
N=4 supersymmetric Yang-Mills at finite temperature and density
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Nuclear Physics B cover
Nuclear Physics B
IF:
2.8
Papers:
855
Citations:
3.9W

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