23 citations · 163 across the 35 of their papers we have counts for
35 papers
Quantization of Algebraic Varieties Defined by Casimir Polynomials via Matrix Regularization: Fuzzy and Beyond
Akifumi Sako
We study the quantization of algebraic varieties defined by equations involving Casimir polynomials of compact semisimple Lie algebras. The Casimir polynomials belong to the Poisso…
Relationship between a matrix model and harmonic oscillator systems
Harald Grosse, Naoyuki Kanomata, Akifumi Sako +1
A Hermitian matrix model with a Kontsevich-type kinetic term is studied. It was recently discovered that the partition function of this matrix model satisfies the Schrödinger…
Quantization of Lie-Poisson algebra and Lie algebra solutions of mass-deformed type IIB matrix model
Jumpei Gohara, Akifumi Sako
A quantization of Lie-Poisson algebras is studied. Classical solutions of the mass-deformed Ishibashi-Kawai-Kitazawa-Tsuchiya (IKKT) matrix model can be constructed from semisimple…
Deformation Quantization with Separation of Variables of
Taika Okuda, Akifumi Sako
We construct a deformation quantization with separation of variables of the Grassmannian . A star product on can be explicitly determined…
Real symmetric -matrix model as Calogero-Moser model
Harald Grosse, Naoyuki Kanomata, Akifumi Sako +1
We study a real symmetric -matrix model whose kinetic term is given by , where is a positive diagonal matrix without degenerate eigenvalues. We show t…
Integrability of Matrix Model as -body Harmonic Oscillator System
Harald Grosse, Akifumi Sako
We study a Hermitian matrix model with a kinetic term given by , where is a positive definite Hermitian matrix, similar as in the Kontsevich Matrix model, but wit…