Last Update 2017/12/28 14:07:11
The goal of theoretical physics is to uncover the fundamental principles governing a vast variety of phenomena in nature, ranging from tiny elementary particles to the whole Universe. As a theoretical physicist working on elementary particle physics, I have been studying supersymmetric field theories and string theories from a number of different perspectives, and I am trying to identify physical and mathematical structures necessary for the better formulation of quantum field theory and for a consistent framework of quantum gravity.
I have been recently working on supersymmetric gauge theories in 2, 3, 4, 5 and 6 dimensions, and in particular exact results and string theory realizations for them. In this approach, the IR fixed points of the theories are characterized by geometrical/ combinatorial structures, such as 3-manifolds, cluster algebras and the cells of the positive Grassmannian. This gives a manifestly duality-invariant formulation of new classes of supersymmetric field theories (with and without Lagrangians), whose properties could be further elucidated with the help of mathematicians. I am excited to join the Kavli IPMU, which provides the ideal interdisciplinary environment for this ambitious research project.
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