Event
Alex Maloney, Department of Physics, 9I制作厂免费
Tuesday, January 9, 2018 15:30to16:30
room 6254, Pav. Andr茅-Aisenstadt, 2920, ch. de la Tour, CA
Conformal Field Theory at Higher Genus, Modular Bootstrap and Entanglement Entropy.
Two dimensional conformal field theories are among the most important quantum field theories: they describe important statistical and condensed matter systems near criticality, and -- while not exactly solvable -- many exact techniques can be used which are not available in higher dimensions. I will consider these theories defined on surfaces of genus g>1, where the partition function of the theory can be interpreted as an entanglement Renyi entropy. This leads to a fascinating relationship between (higher genus) modular invariance and information theory. I will describe novel uses of higher genus modular invariance to constrain the structure constants of the theory, based on recent work with J. Cardy and H. Maxfield. I will also describe the relationship between the theory of modular forms for triangle groups and entanglement entropy in two dimensional CFT.