### Conveners

#### Parallel Session 4: Cosmology/Strings

- Francesco Sarandrea (IPPP)

#### Parallel Session 4: Non-perturbative QFT

- Theresa Abl (Durham)

Finding a non-perturbative formulation of Quantum Field Theory (QFT) is an important outstanding problem in physics and mathematics. In mathematics it is needed to put QFT on rigorous footing. In physics it is needed to explain many phenomena observed in nature, particularly at strong coupling, for example the confinement of quarks. Resurgence and Picard-Lefschetz theory are tools that provide...

In the field of topological solitons, the bogomol'nyi trick is a method that can be used to find non-trivial minima of the energy functional where the Euler-Lagrange equations are generally too hard to solve. In the field of condensed matter, magnetic skyrmions are one of the few real-life examples of topological solitons, with potential applications in memory storage. In this talk I will...

We discuss a model of inflation with a minimal Image potential. There are two main problems with conventional Image chaotic inflation: the tensor to scalar ratio is generally unacceptably large, and it requires a super-Planckian inflaton field in order to inflate. It has been shown recently that a minimal Image inflation model with an Image term in the context of Palatini gravity is able to...

In this talk the key results from the last 15 years of work in heterotic string vacua classification in the free fermionic formulation will be reviewed. The latest work on fertility condition in the Left-right symmetric models will be explored as well as the ongoing project towards a classification of Non-SUSY models.

In this talk, a taster is given of preliminary results obtained with my collaborators. We study the integrable Yang-Baxter deformations of the Principal Chiral Model and its on-shell "uniton" solutions. By dimensionally reducing the theory on the world-sheet we obtain an effective quantum mechanics. Using techniques from resurgence we try to interpret the non-perturbative physics as uniton...