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Awata Lab
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Research analyzing the mathematical structures at the foundation of superstring theory.
AboutAbout the lab
Exploring the mathematical structure of superstring theory
Prof. Awata studies the mathematical structures of quantum field theories, including superstring theory.
Superstring theory is considered a leading candidate for a theory that explains interactions, including gravity, in a unified way.
To grasp the new geometric and algebraic structures essential to understanding it, the lab analyzes the underlying mathematics.
The lab studies the representation theory of infinite-dimensional algebras such as the Virasoro algebra, and the properties of Jack polynomials and Macdonald polynomials.
Key terms
- Superstring theory
- A theory that regards the building blocks of matter not as points but as tiny strings, and tries to explain forces, including gravity, in a unified way.
- Quantum field theory
- A theory that treats elementary particles and the like quantum mechanically, as fluctuations of "fields" extended through space.
- Conformal field theory
- A field theory whose properties are unchanged under transformations that preserve angles (conformal transformations).
- Symmetric function
- A polynomial or function whose value does not change when its variables are permuted. Jack polynomials are one example.
ResearchResearch themes
The lab analyzes the fundamental mathematical structures underlying superstring theory, which is regarded as a leading candidate for a unified theory that includes gravity. The focus is on the representation theory of infinite-dimensional algebras and on quantum field theories with the corresponding symmetries.
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MembersFaculty
- Associate ProfessorHidetoshi Awata
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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: “Calabi-Yau-alternate” The original uploader was Lunch at English Wikipedia. / CC BY-SA 2.5 (cropped)
- Infinite-dimensional algebras and quantum field theory: “Formulas on an old blackboard (Unsplash)” Roman Mager roman_lazygeek / CC0 (cropped)
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