Ryan A. Cullinan

collaborators

3 papers

hep-th2026

Computational homological methods for integrable field theories

Marco Benini, Ryan A. Cullinan, Alexander Schenkel +1

We develop explicit computational tools for the recent homological approach to the construction of $2$ -dimensional integrable field theories on $Σ$ from $4$ -dimensional semi-holomo…

hep-th2026

On the structure of higher-dimensional integrable field theories

Marco Benini, Ryan A. Cullinan, Alexander Schenkel +1

We propose a general framework for integrable field theories in arbitrary spacetime dimension $d + 1$ which is based on $d$ -term $L_{\infty}$ -algebras. Specifically, we introduce cycli…

hep-th2024

Gauging The Diamond: Integrable Coset Models from Twistor Space

Lewis T. Cole, Ryan A. Cullinan, Ben Hoare +2

Recent work has shown that certain integrable and conformal field theories in two dimensions can be given a higher-dimensional origin from holomorphic Chern-Simons in six dimension…