2021/01/15 by Kazumi Okuyama, Okuyama, Kazumi
Mathematics · Physics and Astronomy · #Airy function #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #Formalism (music) #Function (biology) #High Energy Physics - Theory (hep-th) #Mathematical analysis #Mathematical physics #Mathematics #Monotonic function #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Spacetime #hep-th
paper · pdf · doi:10.48550/arxiv.2101.05990
published in arXiv (Cornell University) (Cornell University) · 24 pages; v2: reference added. v3: to appear in JHEP
openalex publication_date 2021/01/15 · arxiv created 2021/01/30 · arxiv updated 2021/02/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a useful integral representation of the quenched free energy which is applicable to any random systems. Our formula involves the generating function of multi-boundary correlators, which can be interpreted on the bulk gravity side as spacetime D-branes introduced by Marolf and Maxfield in [arXiv:2002.08950]. As an example, we apply our formalism to the Airy limit of the random matrix model and compute its quenched free energy under certain approximations of the generating function of correlators. It turns out that the resulting quenched free energy is a monotonically decreasing function of the temperature, as expected.