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Kato Lab
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The lab explores the mathematical structures hidden in quantum field theory and string theory.
AboutAbout the lab
Exploring the mathematics hidden in theoretical physics.
The Kato Lab studies the mathematical structures of quantum field theory and string theory within the field of mathematical physics.
"Quantization" and "renormalization" are key concepts in modern physics, but their content and meaning have yet to be fully understood mathematically.
The lab is interested in objects and structures in which these properties play an essential role.
Currently, the lab focuses in particular on the mathematical structures suggested by dualities in field theory, studying them from the perspectives of low-dimensional topology, representation theory, category theory, and combinatorics.
Key terms
- String theory
- A theory in physics that regards the smallest constituents of matter not as points but as tiny strings
- Renormalization
- A procedure for handling the infinities that appear in quantum field theory calculations and extracting meaningful values from them
- Duality
- A correspondence in which two theories that look different actually describe the same physics
ResearchResearch themes
The lab studies the mathematical structures of quantum field theory and string theory. It investigates the mathematical structures suggested by dualities in field theory from the perspectives of low-dimensional topology, representation theory, category theory, and combinatorics.
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MembersFaculty
- Associate ProfessorAkishi KatoPublications ↗
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Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to Kato Lab
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Hayashi LabFaculty of Science, Department of MathematicsDynamical systemsThe information on this page is compiled by the LabLog team from the lab's public information and interviews. For corrections or removal requests, please contact LabLog, not the lab.
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: “Orange Genus 2 Surface” Gelada / CC BY-SA 3.0 (cropped)
- Mathematical Structures of Quantum Field Theory and String Theory: “TrefoilKnotOrder2Symmetry” Wstomv / CC BY-SA 4.0 (cropped)
- Related lab (Matsui Lab): “Illustration of Yang Baxter Equation” AHusain314 / Public domain (cropped)
- Related lab (Shiraishi Lab): “Weierstrass p function” Claudio Rocchini / CC BY-SA 4.0 (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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