Outputs (222)

Anomalies of non-Abelian finite groups via cobordism (2022)
Journal Article
Davighi, J., Gripaios, B., & Lohitsiri, N. (2022). Anomalies of non-Abelian finite groups via cobordism. Journal of High Energy Physics, 2022(9), Article 147. https://doi.org/10.1007/jhep09%282022%29147

We use cobordism theory to analyse anomalies of finite non-abelian symmetries in 4 spacetime dimensions. By applying the method of ‘anomaly interplay’, which uses functoriality of cobordism and naturality of the η-invariant to relate anomalies in a g... Read More about Anomalies of non-Abelian finite groups via cobordism.

A Collaboratively-Derived Research Agenda for E-assessment in Undergraduate Mathematics (2022)
Journal Article
Kinnear, G., Jones, I., Sangwin, C., Alarfaj, M., Davies, B., Fearn, S., Foster, C., Heck, A., Henderson, K., Hunt, T., Iannone, P., Kontorovich, I., Larson, N., Lowe, T., Meyer, J. C., O’Shea, A., Rowlett, P., Sikurajapathi, I., & Wong, T. (online). A Collaboratively-Derived Research Agenda for E-assessment in Undergraduate Mathematics. International Journal of Research in Undergraduate Mathematics Education, https://doi.org/10.1007/s40753-022-00189-6

This paper describes the collaborative development of an agenda for research on e-assessment in undergraduate mathematics. We built on an established approach to develop the agenda from the contributions of 22 mathematics education researchers, unive... Read More about A Collaboratively-Derived Research Agenda for E-assessment in Undergraduate Mathematics.

Ising Machines for Diophantine Problems in Physics (2022)
Journal Article
Abel, S. A., & Nutricati, L. A. (2022). Ising Machines for Diophantine Problems in Physics. Fortschritte der Physik, 70(11), Article 2200114. https://doi.org/10.1002/prop.202200114

Diophantine problems arise frequently in physics, in for example anomaly cancellation conditions, string consistency conditions and so forth. We present methods to solve such problems to high order on annealers that are based on the quadratic Ising M... Read More about Ising Machines for Diophantine Problems in Physics.

Developing ‘deep mathematical thinking’ in geometry with 3- and 4-year-olds: A collaborative study between early years teachers and University-based mathematicians (2022)
Journal Article
Oughton, R., Nichols, K., Bolden, D. S., Dixon-Jones, S., Fearn, S., Darwin, S., Mistry, M., Peyerimhoff, N., & Townsend, A. (2024). Developing ‘deep mathematical thinking’ in geometry with 3- and 4-year-olds: A collaborative study between early years teachers and University-based mathematicians. Mathematical Thinking and Learning, 26(3), 306-325. https://doi.org/10.1080/10986065.2022.2119497

Mathematics in early years settings is often restricted to learning to count and identifying simple shapes. This is partly due to the narrow scope of many early years curricula and insufficient teacher training for exploring deeper mathematical conce... Read More about Developing ‘deep mathematical thinking’ in geometry with 3- and 4-year-olds: A collaborative study between early years teachers and University-based mathematicians.

Additive functions in short intervals, gaps and a conjecture of Erdős (2022)
Journal Article
Mangerel, A. P. (2022). Additive functions in short intervals, gaps and a conjecture of Erdős. Ramanujan Journal, 59(4), 1023-1090. https://doi.org/10.1007/s11139-022-00623-y

With the aim of treating the local behaviour of additive functions, we develop analogues of the Matomäki–Radziwiłł theorem that allow us to approximate the average of a general additive function over a typical short interval in terms of a correspondi... Read More about Additive functions in short intervals, gaps and a conjecture of Erdős.

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.

Systematics of perturbatively flat flux vacua for CICYs (2022)
Journal Article
Carta, F., Mininno, A., & Shukla, P. (2022). Systematics of perturbatively flat flux vacua for CICYs. Journal of High Energy Physics, 2022(8), Article 297. https://doi.org/10.1007/jhep08%282022%29297

In this paper, we extend the analysis of scanning the perturbatively flat flux vacua (PFFV) for the type IIB orientifold compactifications on the mirror of the projective complete intersection Calabi-Yau (pCICY) 3-folds, which are realized as hypersu... Read More about Systematics of perturbatively flat flux vacua for CICYs.

Hiding canonicalisation in tensor computer algebra (2022)
Preprint / Working Paper
Price, D., Peeters, K., & Zamaklar, M. (2022). Hiding canonicalisation in tensor computer algebra

Simplification of expressions in computer algebra systems often involves a step known as "canonicalisation", which reduces equivalent expressions to the same form. However, such forms may not be natural from the perspective of a pen-and-paper computa... Read More about Hiding canonicalisation in tensor computer algebra.

A scanning algorithm for odd Khovanov homology (2022)
Journal Article
Schuetz, D. (2022). A scanning algorithm for odd Khovanov homology. Algebraic & geometric topology, 22, 1287-1324. https://doi.org/10.2140/agt.2022.22.1287

We adapt Bar-Natan’s scanning algorithm for fast computations in (even) Khovanov homology to odd Khovanov homology. We use a mapping cone construction instead of a tensor product, which allows us to deal efficiently with the more complicated sign ass... Read More about A scanning algorithm for odd Khovanov homology.

Logarithmic corrections, entanglement entropy, and UV cutoffs in de Sitter spacetime (2022)
Journal Article
Arenas-Henriquez, G., Diaz, F., & Sundell, P. (2022). Logarithmic corrections, entanglement entropy, and UV cutoffs in de Sitter spacetime. Journal of High Energy Physics, 2022(8), Article 261. https://doi.org/10.1007/jhep08%282022%29261

It has been argued that the entropy of de Sitter space corresponds to the entanglement between disconnected regions computable by switching on a replica parameter q modeled by the quotient dS/ℤq. Within this framework, we show that the centrally-exte... Read More about Logarithmic corrections, entanglement entropy, and UV cutoffs in de Sitter spacetime.