Statistical Physics of the Polarised IKKT Matrix Model
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866917029843304448 |
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| author | Hartnoll, Sean A. Liu, Jun |
| author_facet | Hartnoll, Sean A. Liu, Jun |
| contents | 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 $Ω^4$. 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 $Ω^2 N$ 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_06481 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Statistical Physics of the Polarised IKKT Matrix Model Hartnoll, Sean A. Liu, Jun High Energy Physics - Theory 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 $Ω^4$. 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 $Ω^2 N$ 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. |
| title | Statistical Physics of the Polarised IKKT Matrix Model |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.06481 |