Instability in ${\cal N}=4$ supersymmetric Yang-Mills theory on $S^3$ at finite density
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910120215052288 |
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| author | Buchel, Alex |
| author_facet | Buchel, Alex |
| contents | Homogeneous and isotropic equilibrium states of strongly coupled ${\cal N}=4$ supersymmetric Yang-Mills charged plasma in ${\mathbb R}^3$ 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 $S^3$. 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 $S^3$ volume is allowed to fluctuate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_27821 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Instability in ${\cal N}=4$ supersymmetric Yang-Mills theory on $S^3$ at finite density Buchel, Alex High Energy Physics - Theory Homogeneous and isotropic equilibrium states of strongly coupled ${\cal N}=4$ supersymmetric Yang-Mills charged plasma in ${\mathbb R}^3$ 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 $S^3$. 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 $S^3$ volume is allowed to fluctuate. |
| title | Instability in ${\cal N}=4$ supersymmetric Yang-Mills theory on $S^3$ at finite density |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.27821 |