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Shiraishi Lab
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The lab studies exactly solvable lattice models associated with elliptic function solutions.
AboutAbout the lab
Solving solvable models, guided by elliptic functions
The Shiraishi Lab studies integrable models in the field of mathematical physics.
Its specialty is two-dimensional exactly solvable lattice models, such as those associated with elliptic function solutions of the Yang-Baxter equation.
Guided by algebraic structures in which elliptic (theta) functions serve as generating functions of the structure constants, the lab studies algebraic analytic methods of solution.
Key terms
- Yang-Baxter equation
- A fundamental equation underlying the exact solvability of models in statistical mechanics and field theory
- Elliptic function
- A function on the complex plane that is periodic in two directions
- Exactly solvable lattice model
- A statistical mechanics model on a lattice that can be solved exactly
ResearchResearch themes
The lab's field is mathematical physics, specializing in integrable models, particularly two-dimensional exactly solvable lattice models. Guided by elliptic (theta) functions, it studies algebraic analytic methods of solution.
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MembersFaculty
- Associate ProfessorJunichi ShiraishiPublications ↗
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Weierstrass p function” Claudio Rocchini / CC BY-SA 4.0 (cropped)
- Exactly Solvable Lattice Models Associated with Elliptic Functions: “6vertexModel” Moali / CC BY-SA 4.0 (cropped)
- Related lab (Kato Lab): “Orange Genus 2 Surface” Gelada / CC BY-SA 3.0 (cropped)
- Related lab (Matsui Lab): “Illustration of Yang Baxter Equation” AHusain314 / Public domain (cropped)
- Related lab (Willox Lab): “Two soliton overtake collision - color plot” N0fk / CC BY-SA 4.0 (cropped)
- Related lab (Hayashi Lab): “Lorenz attractor and its transients” Yapparina / CC0 (cropped)
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