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The Convergence of Yang-Mills Integrals

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abstract

We prove that SU(N) bosonic Yang-Mills matrix integrals are convergent for dimension (number of matrices) $D\ge D_c$. It is already known that $D_c=5$ for N=2; we prove that $D_c=4$ for N=3 and that $D_c=3$ for $N\ge 4$. These results are consistent with the numerical evaluations of the integrals by Krauth and Staudacher.

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hep-th 1

years

2024 1

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CONDITIONAL 1

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Einstein gravity from a matrix integral -- Part II

hep-th · 2024-11-27 · conditional · novelty 7.0

Exact localization results for polarized IKKT reveal a divergence in the Ω to 0 limit that is distinct from IKKT, and the large-N eigenvalue dynamics match the electrostatic problem underlying the dual IIB supergravity geometries.

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  • Einstein gravity from a matrix integral -- Part II hep-th · 2024-11-27 · conditional · none · ref 24 · internal anchor

    Exact localization results for polarized IKKT reveal a divergence in the Ω to 0 limit that is distinct from IKKT, and the large-N eigenvalue dynamics match the electrostatic problem underlying the dual IIB supergravity geometries.