97 citations · 420 across the 29 of their papers we have counts for
49 papers · 1 filter
Group character averages via a single Laguerre
Alexei Morozov, Kazumi Okuyama
Average of exponential , i.e. of a group rather than an algebra character, in Gaussian matrix model is known to be an amusing generalization of Schur polynomial, wh…
Cap amplitudes in random matrix models
Kazumi Okuyama
For general one-matrix models in the large limit, we introduce the cap amplitude as the expansion coefficient of the 1-form on the spectral curve. We find that the…
Non-perturbative effects in JT gravity from KdV equations
Yasuyuki Hatsuda, Takaki Matsumoto, Kazumi Okuyama
It is well-known that the partition function of the Jackiw-Teitelboim (JT) gravity is obtained by an integral transformation of volumes of moduli spaces for Riemann surfaces, also…
Discrete analogue of the Weil-Petersson volume in double scaled SYK
Kazumi Okuyama
We show that the connected correlators of partition functions in double scaled SYK model can be decomposed into ``trumpet'' and the discrete analogue of the Weil-Petersson volume,…
End of the world brane in double scaled SYK
Kazumi Okuyama
We study the end of the world (EOW) brane in double scaled SYK (DSSYK) model. We find that the boundary state of EOW brane is a coherent state of the -deformed oscillators and t…
High temperature expansion of double scaled SYK
Kazumi Okuyama
We study the high temperature (or small inverse temperature ) expansion of the free energy of double scaled SYK model. We find that this expansion is a convergent series with a…