5 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…
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…
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 Schröding…
Explicit formula of deformation quantization with separation of variables for complex two-dimensional locally symmetric Kähler manifold
Taika Okuda, Akifumi Sako
We give a complex two-dimensional noncommutative locally symmetric Kähler manifold via a deformation quantization with separation of variables. We present an explicit formula of i…