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Gauging the diamond: integrable coset models from twistor space (2024)
Journal Article
Cole, L. T., Cullinan, R. A., Hoare, B., Liniado, J., & Thompson, D. C. (2024). Gauging the diamond: integrable coset models from twistor space. Journal of High Energy Physics, 2024(12), Article 202. https://doi.org/10.1007/jhep12%282024%29202

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 dimensions. Along with anti-self-dual Yang-Mills and four-dimensional Chern-Sim... Read More about Gauging the diamond: integrable coset models from twistor space.

Inequivalent light-cone gauge-fixings of strings on AdSn×Sn backgrounds (2024)
Journal Article
Borsato, R., Driezen, S., Hoare, B., Retore, A. L., & Seibold, F. K. (2024). Inequivalent light-cone gauge-fixings of strings on AdSn×Sn backgrounds. Physical Review D, 109(10), Article 106023. https://doi.org/10.1103/physrevd.109.106023

Light-cone gauge-fixed sigma models on AdSn×Sn backgrounds play an important role in the integrability formulation of the AdS/CFT correspondence. The string spectrum of the sigma model is gauge independent, however the Hamiltonian and scattering matr... Read More about Inequivalent light-cone gauge-fixings of strings on AdSn×Sn backgrounds.

Elliptic deformations of the AdS 3 × S 3 × T 4 string (2024)
Journal Article
Hoare, B., Retore, A. L., & Seibold, F. K. (2024). Elliptic deformations of the AdS 3 × S 3 × T 4 string. Journal of High Energy Physics, 2024(4), Article 42. https://doi.org/10.1007/jhep04%282024%29042

With the aim of investigating the existence of an integrable elliptic deformation of strings on AdS3 × S3 × T4, we compute the tree-level worldsheet S-matrix of the elliptically-deformed bosonic sigma model on AdS3 × S3 in uniform light-cone gauge. T... Read More about Elliptic deformations of the AdS 3 × S 3 × T 4 string.

Towards a quadratic Poisson algebra for the subtracted classical monodromy of symmetric space sine-Gordon theories (2024)
Journal Article
Delduc, F., Hoare, B., & Magro, M. (2024). Towards a quadratic Poisson algebra for the subtracted classical monodromy of symmetric space sine-Gordon theories. Journal of Physics A: Mathematical and Theoretical, 57(6), Article 065401. https://doi.org/10.1088/1751-8121/ad1d91

Symmetric space sine-Gordon theories are two-dimensional massive integrable field theories, generalising the sine-Gordon and complex sine-Gordon theories. To study their integrability properties on the real line, it is necessary to introduce a subtra... Read More about Towards a quadratic Poisson algebra for the subtracted classical monodromy of symmetric space sine-Gordon theories.