AbstractThe torus partition function of TTbar-deformed CFTs is modular invariant. Using this fact, it is shown that TTbar-deformed CFTs exhibit a universal free energy in the high temperature limit and a universal spectrum in the high energy limit. In this work, we show that a much stronger form of universality holds in TTbar-deformed CFTs with a large central charge c for both the double and s...
AbstractI will show a solution to a problem asked by Dinh and Sibony in their open problem list, about minimal growth of universal meromorphic functions. This is joint work with Dinh Tuan Huynh and Zhangchi Chen. If time permits, I will also discuss my recent joint work with my Ph.D. student Bin Guo, about the existence of universal holomorphic functions in several variables with slow growth.Sp...