Outputs (202)

Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms (2023)
Journal Article
Egidi, M., Gittins, K., Habib, G., & Peyerimhoff, N. (2023). Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms. Journal of Spectral Theory, 13(4), 1297-1343. https://doi.org/10.4171/JST/480

In this paper we introduce the magnetic Hodge Laplacian, which is a generalization of the magnetic Laplacian on functions to differential forms. We consider various spectral results, which are known for the magnetic Laplacian on functions or for the... Read More about Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms.

Generating, from scratch, the near-field asymptotic forms of scalar resistance functions for two unequal rigid spheres in low Reynolds number flow (2023)
Journal Article
Townsend, A. K. (2023). Generating, from scratch, the near-field asymptotic forms of scalar resistance functions for two unequal rigid spheres in low Reynolds number flow. Physics of Fluids, 35(12), Article 127126. https://doi.org/10.1063/5.0175697

The motion of rigid spherical particles suspended in a low Reynolds number fluid can be related to the forces, torques and stresslets acting upon them by 22 scalar resistance functions, commonly notated $X^A_{11}$, $X^A_{12}$, $Y^A_{11}$, etc. Near-f... Read More about Generating, from scratch, the near-field asymptotic forms of scalar resistance functions for two unequal rigid spheres in low Reynolds number flow.

Decoding Nature with Nature's Tools: Heterotic Line Bundle Models of Particle Physics with Genetic Algorithms and Quantum Annealing (2023)
Journal Article
Abel, S. A., Constantin, A., Harvey, T. R., Lukas, A., & Nutricati, L. A. (2023). Decoding Nature with Nature's Tools: Heterotic Line Bundle Models of Particle Physics with Genetic Algorithms and Quantum Annealing. Fortschritte der Physik, https://doi.org/10.1002/prop.202300260

The string theory landscape may include a multitude of ultraviolet embeddings of the Standard Model, but identifying these has proven difficult due to the enormous number of available string compactifications. Genetic Algorithms (GAs) represent a pow... Read More about Decoding Nature with Nature's Tools: Heterotic Line Bundle Models of Particle Physics with Genetic Algorithms and Quantum Annealing.

Modular differential equations with movable poles and admissible RCFT characters (2023)
Journal Article
Das, A., Gowdigere, C. N., Mukhi, S., & Santara, J. (2023). Modular differential equations with movable poles and admissible RCFT characters. Journal of High Energy Physics, 2023(12), Article 143. https://doi.org/10.1007/jhep12%282023%29143

Studies of modular linear differential equations (MLDE) for the classification of rational CFT characters have been limited to the case where the coefficient functions (in monic form) have no poles, or poles at special points of moduli space. Here we... Read More about Modular differential equations with movable poles and admissible RCFT characters.

Moduli space reconstruction and Weak Gravity (2023)
Journal Article
Gendler, N., Heidenreich, B., McAllister, L., Moritz, J., & Rudelius, T. (2023). Moduli space reconstruction and Weak Gravity. Journal of High Energy Physics, 2023(12), Article 134. https://doi.org/10.1007/jhep12%282023%29134

We present a method to construct the extended Kähler cone of any Calabi-Yau threefold by using Gopakumar-Vafa invariants to identify all geometric phases that are related by flops or Weyl reflections. In this way we obtain the Kähler moduli spaces of... Read More about Moduli space reconstruction and Weak Gravity.

Large sums of high‐order characters (2023)
Journal Article
Mangerel, A. P. (2024). Large sums of high‐order characters. Journal of the London Mathematical Society, 109(1), Article e12841. https://doi.org/10.1112/jlms.12841

Let χ $\chi$ be a primitive character modulo a prime q $q$ , and let δ > 0 $\delta > 0$ . It has previously been observed that if χ $\chi$ has large order d ⩾ d 0 ( δ ) $d \geqslant d_0(\delta)$ then χ ( n ) ≠ 1 $\chi (n) \ne 1$ for some n ⩽ q δ $... Read More about Large sums of high‐order characters.

Variations in older people's emergency care use by social care setting: a systematic review of international evidence. (2023)
Journal Article
Brotherhood, K., Searle, B., Spiers, G. F., Caiado, C., & Hanratty, B. (2023). Variations in older people's emergency care use by social care setting: a systematic review of international evidence. British Medical Bulletin, Article ldad033. https://doi.org/10.1093/bmb/ldad033

Older adults' use of social care and their healthcare utilization are closely related. Residents of care homes access emergency care more often than the wider older population; however, less is known about emergency care use across other social care... Read More about Variations in older people's emergency care use by social care setting: a systematic review of international evidence..

Lifting integrable models and long-range interactions (2023)
Journal Article
de Leeuw, M., & Retore, A. L. (2023). Lifting integrable models and long-range interactions. SciPost Physics, 15(6), Article 241. https://doi.org/10.21468/scipostphys.15.6.241

In this paper we discuss a constructive approach to check whether a constant Hamiltonian is Yang-Baxter integrable. We then apply our method to long-range interactions and find the Lax operator and R-matrix of the three-loop SU(2) sector in N=4 SYM.... Read More about Lifting integrable models and long-range interactions.

A fresh look at mean-shift based modal clustering (2023)
Journal Article
Ameijeiras-Alonso, J., & Einbeck, J. (2023). A fresh look at mean-shift based modal clustering. Advances in Data Analysis and Classification, https://doi.org/10.1007/s11634-023-00575-1

Modal clustering is an unsupervised learning technique where cluster centers are identified as the local maxima of nonparametric probability density estimates. A natural algorithmic engine for the computation of these maxima is the mean shift procedu... Read More about A fresh look at mean-shift based modal clustering.

An artificial protein cage made from a 12-membered ring (2023)
Journal Article
Stupka, I., Biela, A. P., Piette, B., Kowalczyk, A., Majsterkiewicz, K., Borzęcka-Solarz, K., …Heddle, J. G. (2024). An artificial protein cage made from a 12-membered ring. Journal of Materials Chemistry B: Materials for biology and medicine, https://doi.org/10.1039/d3tb01659e

Artificial protein cages have great potential in diverse fields including as vaccines and drug delivery vehicles. TRAP-cage is an artificial protein cage notable for the way in which the interface between its ring-shaped building blocks can be modifi... Read More about An artificial protein cage made from a 12-membered ring.