Statistical Physics of the Polarised IKKT Matrix Model

2025/04/08 by Hartnoll, Sean A., Liu, Jun · 4 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2504.06481

Abstract

The polarised IKKT matrix model is the worldpoint theory of N D-instantons in a background three-form flux of magnitude Ω, and promises to be a highly tractable model of holography. The matrix integral can be viewed as a statistical physics partition function with inverse temperature Ω⁴. At large Ω the model is dominated by a matrix configuration corresponding to a 'polarised' spherical D1-brane. We show that at a critical value of Ω² N the model undergoes a first order phase transition, corresponding to tunneling into a collection of well-separated D-instantons. These instantons are the remnant of a competing saddle in the high Ω phase corresponding to spherical (p,q) fivebranes. We use a combination of numerical and analytical arguments to capture the different regimes of the model.

Cited by

• Derivation of the NS5-brane limit of the plane wave matrix model
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• Monte Carlo studies of the emergent spacetime in the polarized IKKT model
• Massive deformations of supersymmetric Yang-Mills matrix models

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