Skip to main content

Research Repository

Advanced Search

Outputs (12)

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.

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.

Integrable supersymmetric deformations of AdS3 × S3 × T4 (2022)
Journal Article
Hoare, B., Seibold, F. K., & Tseytlin, A. A. (2022). Integrable supersymmetric deformations of AdS3 × S3 × T4. Journal of High Energy Physics, 2022(9), Article 18. https://doi.org/10.1007/jhep09%282022%29018

We construct a family of type IIB string backgrounds that are deformations of AdS3 × S 3 × T 4 with a “squashed” AdS3 × S 3 metric supported by a combination of NSNS and RR fluxes. They have global SU(1, 1) × SU(2) symmetry, regular curvature, consta... Read More about Integrable supersymmetric deformations of AdS3 × S3 × T4.

Integrable deformations of sigma models (2022)
Journal Article
Hoare, B. (2022). Integrable deformations of sigma models. Journal of Physics A: Mathematical and Theoretical, 55(9), Article 093001. https://doi.org/10.1088/1751-8121/ac4a1e

In this pedagogical review we introduce systematic approaches to deforming integrable two-dimensional sigma models. We use the integrable principal chiral model and the conformal Wess–Zumino–Witten model as our starting points and explore their Yang–... Read More about Integrable deformations of sigma models.

Dual description of η-deformed OSP sigma models (2020)
Journal Article
Alfimov, M., Feigin, B., Hoare, B., & Litvinov, A. (2020). Dual description of η-deformed OSP sigma models. Journal of High Energy Physics, 2020(12), Article 40. https://doi.org/10.1007/jhep12%282020%29040

We study the dual description of the η-deformed OSP(N|2m) sigma model in the asymptotically free regime (N > 2m + 2). Compared to the case of classical Lie groups, for supergroups there are inequivalent η-deformations corresponding to different choic... Read More about Dual description of η-deformed OSP sigma models.