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Supersphere non-linear sigma model on the lattice (2023)
Presentation / Conference Contribution
Costa, I., Forini, V., Hoare, B., Meier, T., Patella, A., & Weber, J. H. (2022, August). Supersphere non-linear sigma model on the lattice. Presented at The 39th International Symposium on Lattice Field Theory, Bonn, Germany

Two-dimensional O(N) non-linear sigma models are exactly solvable theories and have many applications, from statistical mechanics to their use as QCD toy models. We consider a supersymmetric extension, the non-linear sigma model on the supersphere~SN... Read More about Supersphere non-linear sigma model on the lattice.

Bi-η and bi-λ deformations of ℤ4 permutation supercosets (2023)
Journal Article
Hoare, B., Levine, N., & Seibold, F. K. (2023). Bi-η and bi-λ deformations of ℤ4 permutation supercosets. Journal of High Energy Physics, 2023(4), Article 24. https://doi.org/10.1007/jhep04%282023%29024

Integrable string sigma models on AdS3 backgrounds with 16 supersymmetries have the distinguishing feature that their superisometry group is a direct product. As a result the deformation theory of these models is particularly rich since the two super... Read More about Bi-η and bi-λ deformations of ℤ4 permutation supercosets.

One-loop inelastic amplitudes from tree-level elasticity in 2d (2023)
Journal Article
Polvara, D. (2023). One-loop inelastic amplitudes from tree-level elasticity in 2d. Journal of High Energy Physics, 2023(4), Article 20. https://doi.org/10.1007/jhep04%282023%29020

We investigate the perturbative integrability of different quantum field theories in 1+1 dimensions at one loop. Starting from massive bosonic Lagrangians with polynomial-like potentials and absence of inelastic processes at the tree level, we derive... Read More about One-loop inelastic amplitudes from tree-level elasticity in 2d.

Spatial heterogeneity localizes turing patterns in reaction-cross-diffusion systems (2023)
Journal Article
Gaffney, E. A., Krause, A. L., Maini, P. K., & Wang, C. (2023). Spatial heterogeneity localizes turing patterns in reaction-cross-diffusion systems. Discrete and Continuous Dynamical Systems - Series B, 28(12), 6092-6125. https://doi.org/10.3934/dcdsb.2023053

Motivated by bacterial chemotaxis and multi-species ecological interactions in heterogeneous environments, we study a general one-dimensional reaction-cross-diffusion system in the presence of spatial heterogeneity in both transport and reaction term... Read More about Spatial heterogeneity localizes turing patterns in reaction-cross-diffusion systems.

Algebraicity of L-values attached to Quaternionic Modular Forms (2023)
Journal Article
Bouganis, A., & Jin, Y. (2024). Algebraicity of L-values attached to Quaternionic Modular Forms. Canadian Journal of Mathematics, 76(2), 638-679. https://doi.org/10.4153/s0008414x23000184

In this paper we prove the algebraicity of some L-values attached to quaternionic modular forms. We follow the rather well established path of the doubling method. Our main contribution is that we include the case where the corresponding symmetric sp... Read More about Algebraicity of L-values attached to Quaternionic Modular Forms.

Quantifying Invasive Pest Dynamics through Inference of a Two-Node Epidemic Network Model (2023)
Journal Article
Wadkin, L. E., Golightly, A., Branson, J., Hoppit, A., Parker, N. G., & Baggaley, A. W. (2023). Quantifying Invasive Pest Dynamics through Inference of a Two-Node Epidemic Network Model. Diversity, 15(4), Article 496. https://doi.org/10.3390/d15040496

Invasive woodland pests have substantial ecological, economic, and social impacts, harming biodiversity and ecosystem services. Mathematical modelling informed by Bayesian inference can deepen our understanding of the fundamental behaviours of invasi... Read More about Quantifying Invasive Pest Dynamics through Inference of a Two-Node Epidemic Network Model.