19 March 2019 İlmar Gahramanov


Speaker: İlmar Gahramanov, Mimar Sinan Fine Arts University
Title: Integrable lattice spin models from supersymmetric field theories
Date: March 19, 2019
Time: 14:30
Cookie & Tea: SCI 103, 14:15
Place: SCI 103
web: https://physics-seminars.ku.edu.tr/

The theory of integrable models in statistical mechanics is a remarkably rich source of theoretical physics. The integrability of the model stems from the fact that the Boltzmann weights can be parameterized in such a way that they solve the Yang-Baxter equation. This equation implies that the transfer matrices for all values of spectral parameter commute, i.e. one can compute the partition function of a model exactly. Recently it was observed an interesting relationship between exact results in supersymmetric quantum field theories and integrable two-dimensional lattice models in statistical mechanics. Due to this relationship, the integrability in statistical models is a direct consequence of supersymmetric duality. This correspondence is a powerful tool which enables us to obtain new integrable lattice models by using supersymmetry computations. In this talk, I will review new trends in integrable models of statistical mechanics with an emphasis on the relationship to supersymmetric quantum field theory. 

Short Bio: Dr. Gahramanov got his PhD in Theoretical Physics from the Humboldt-University Berlin in 2016, under the supervision of Jan Plefka. Before moving to Istanbul, he was a postdoc at the Max Planck Institute for Gravitational Physics (Albert Einstein Institute Potsdam-Golm, Germany). Now he is an assistant professor at the Physics Department of Mimar Sinan Fine Arts University. His research interests focus on theoretical and mathematical physics with an emphasis on supersymmetric quantum field theory, classical and quantum integrability, gauge/string dualities, topological fi eld theories, special functions, and resurgence theory.