New trends in QFT, modularity, resurgence

Contribution List

3. A variational approach to QFT in low dimensions?

Antoine Tilloy (LPENS & Mines Paris & INRIA)

11/6/24, 1:30 PM

Massive quantum field theories in 1+1 dimensions are interesting in that they are fairly easy to define rigorously but still very difficult to solve (except at some integrable points). In the past few years, my collaborators and I have introduced and developed a variational method to solve them. The variational ansatz is based on a combination of continuous matrix product states and Bogoliubov...

2. Matrix cocycles and Borel resummation

Campbell Wheeler (IHES)

11/6/24, 3:00 PM

One of the many miracles of modular forms is that their q-series have convergent asymptotics as q approaches roots of unity. This comes by analysing the action of SL(2,Z) and the knowledge of the behaviour as q tends to zero.
In Ramanujan's last letter to Hardy, he famously introduced the mysterious mock modular forms. These were q-series with asymptotics that look like those of a modular...

1. The arithmetic of resurgent topological strings

Claudia Rella (IHES)

11/6/24, 4:15 PM

Quantising the mirror curve to a toric Calabi-Yau threefold gives rise to quantum operators whose fermionic spectral traces produce factorially divergent series in the Planck constant and its inverse. These are captured by the Nekrasov-Shatashvili and standard topological strings via the TS/ST correspondence. In this talk, I will discuss the resurgence of these dual asymptotic series and...