Kentaro Hori

Last Update 2015/04/24 21:24:28
My research is motivated by two questions: What is the fundamental law of Nature? Which mathematics is used to describe it? The right theoretical framework must unify general relativity and quantum mechanics. It must be described, I think, by a language which unifies mathematical areas that were born and grew up indivisibly from these two physics developments. String theory is a leading candidate for such a framework.
"Mirror symmetry" is an example that suggests "unification of mathematics". It is a phenomenon that strings moving in two different spaces lead to exactly the same physics, in a surprising way in which symplectic geometry and algebraic geometry of the two spaces are exchanged. We have shown that it can be understood using duality in twodimensional quantum gauge theory. This work led to further development such as correspondence between Dbranes.
Currently, I am studying string compactifications using various techniques including mirror symmetry. One big goal is to obtain a picture of totality of theories with minimal supersymmetry in fourdimensions. At the same time, I aim to develop the best language to describe the theory, in collaboration with mathematicians.
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