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Energy-Constrained Random Walk with Boundary Replenishment (2023)
Journal Article
Wade, A. R., & Grinfeld, M. (2023). Energy-Constrained Random Walk with Boundary Replenishment. Journal of Statistical Physics, 190(10), Article 155. https://doi.org/10.1007/s10955-023-03165-9

We study an energy-constrained random walker on a length-N interval of the one-dimensional integer lattice, with boundary reflection. The walker consumes one unit of energy for every step taken in the interior, and energy is replenished up to a capac... Read More about Energy-Constrained Random Walk with Boundary Replenishment.

Rational Skyrmions (2023)
Journal Article
Harland, D., & Sutcliffe, P. (2023). Rational Skyrmions. Journal of Physics A: Mathematical and Theoretical, 56(42), Article 425401. https://doi.org/10.1088/1751-8121/acfbcc

A new method is introduced to construct approximations to Skyrmions that are explicit rational functions of the spatial Cartesian coordinates. The scheme uses ADHM data of a Yang–Mills instanton to produce a Skyrmion with a baryon number that is equa... Read More about Rational Skyrmions.

Exceptionally simple integrated correlators in N = 4 supersymmetric Yang-Mills theory (2023)
Journal Article
Dorigoni, D., & Vallarino, P. (2023). Exceptionally simple integrated correlators in N = 4 supersymmetric Yang-Mills theory. Journal of High Energy Physics, 2023(9), Article 203. https://doi.org/10.1007/jhep09%282023%29203

Supersymmetric localisation has led to several modern developments in the study of integrated correlators in N = 4 supersymmetric Yang-Mills (SYM) theory. In particular, exact results have been derived for certain integrated four-point functions of s... Read More about Exceptionally simple integrated correlators in N = 4 supersymmetric Yang-Mills theory.

Temperedness of L 2 (Γ\G) and positive eigenfunctions in higher rank (2023)
Journal Article
Edwards, S., & Oh, H. (2023). Temperedness of L 2 (Γ\G) and positive eigenfunctions in higher rank. Communications of the American Mathematical Society, 3, 744-778. https://doi.org/10.1090/cams/25

Let G = SO • (n, 1) × SO • (n, 1) and X = H n × H n for n ≥ 2. For a pair (π1, π2) of non-elementary convex cocompact representations of a finitely generated group Σ into SO • (n, 1), let Γ = (π1 × π2)(Σ). Denoting the bottom of the L 2-spectrum of t... Read More about Temperedness of L 2 (Γ\G) and positive eigenfunctions in higher rank.

Eruptivity Criteria for Solar Coronal Flux Ropes in Magnetohydrodynamic and Magnetofrictional Models (2023)
Journal Article
Rice, O. E. K., & Yeates, A. R. (2023). Eruptivity Criteria for Solar Coronal Flux Ropes in Magnetohydrodynamic and Magnetofrictional Models. Astrophysical Journal, 955(2), Article 114. https://doi.org/10.3847/1538-4357/acefc1

We investigate which scalar quantity or quantities can best predict the loss of equilibrium and subsequent eruption of magnetic flux ropes in the solar corona. Our models are initialized with a potential magnetic arcade, which is then evolved by mean... Read More about Eruptivity Criteria for Solar Coronal Flux Ropes in Magnetohydrodynamic and Magnetofrictional Models.

Improved Lieb-Thirring type inequalities for non-selfadjoint Schroedinger operators (2023)
Book Chapter
Boegli, S. (2023). Improved Lieb-Thirring type inequalities for non-selfadjoint Schroedinger operators. In M. Brown, F. Gesztesy, P. Kurasov, A. Laptev, B. Simon, G. Stolz, & I. Wood (Eds.), From Complex Analysis to Operator Theory: A Panorama In Memory of Sergey Naboko (151-161). (1). Birkhaeuser-Springer. https://doi.org/10.1007/978-3-031-31139-0_9

We improve the Lieb–Thirring type inequalities by Demuth, Hansmann and Katriel (J. Funct. Anal. 2009) for Schr¨odinger operators with complex-valued potentials. Our result involves a positive, integrable function. We show that in the one-dimensional... Read More about Improved Lieb-Thirring type inequalities for non-selfadjoint Schroedinger operators.

A Goldstone theorem for continuous non-invertible symmetries (2023)
Journal Article
Etxebarria, I. G., & Iqbal, N. (2023). A Goldstone theorem for continuous non-invertible symmetries. Journal of High Energy Physics, 2023(9), Article 145. https://doi.org/10.1007/jhep09%282023%29145

We study systems with an Adler-Bell-Jackiw anomaly in terms of non-invertible symmetry. We present a new kind of non-invertible charge defect where a key role is played by a local current operator localized on the defect. The charge defects are now l... Read More about A Goldstone theorem for continuous non-invertible symmetries.

Near-Miss Bi-Homogenous Symmetric Polyhedral Cages (2023)
Journal Article
Piette, B., & Lukács, Á. (2023). Near-Miss Bi-Homogenous Symmetric Polyhedral Cages. Symmetry, 15(9), Article 1804. https://doi.org/10.3390/sym15091804

Following the discovery of an artificial protein cage with a paradoxical geometry, we extend the concept of homogeneous symmetric congruent equivalent near-miss polyhedral cages, for which all the faces are equivalent, and define bi-homogeneous symme... Read More about Near-Miss Bi-Homogenous Symmetric Polyhedral Cages.

String Model Building on Quantum Annealers (2023)
Journal Article
Abel, S., Nutricati, L. A., & Rizos, J. (2023). String Model Building on Quantum Annealers. Fortschritte der Physik, 71(12), Article 2300167. https://doi.org/10.1002/prop.202300167

For the first time the direct construction of string models on quantum annealers has been explored and has been investigated their efficiency and effectiveness in the model discovery process. Through a thorough comparison with traditional methods suc... Read More about String Model Building on Quantum Annealers.

Accelerating black holes in 2 + 1 dimensions: holography revisited (2023)
Journal Article
Arenas-Henriquez, G., Cisterna, A., Diaz, F., & Gregory, R. (2023). Accelerating black holes in 2 + 1 dimensions: holography revisited. Journal of High Energy Physics, 2023(9), Article 122. https://doi.org/10.1007/jhep09%282023%29122

This paper studies the holographic description of 2 + 1-dimensional accelerating black holes. We start by using an ADM decomposition of the coordinates suitable to identify boundary data. As a consequence, the holographic CFT lies in a fixed curved b... Read More about Accelerating black holes in 2 + 1 dimensions: holography revisited.

Multi-fractional instantons in SU( N ) Yang-Mills theory on the twisted T 4 (2023)
Journal Article
Anber, M. M., & Poppitz, E. (in press). Multi-fractional instantons in SU( N ) Yang-Mills theory on the twisted T 4. Journal of High Energy Physics, 2023(9), Article 95. https://doi.org/10.1007/jhep09%282023%29095

We construct analytical self-dual Yang-Mills fractional instanton solutions on a four-torus T4 with ’t Hooft twisted boundary conditions. These instantons possess topological charge Q=rN, where 1 ≤ r < N. To implement the twist, we employ SU(N) trans... Read More about Multi-fractional instantons in SU( N ) Yang-Mills theory on the twisted T 4.

Gauge independent kinematic algebra of self-dual Yang-Mills theory (2023)
Journal Article
Bonezzi, R., Díaz-Jaramillo, F., & Nagy, S. (2023). Gauge independent kinematic algebra of self-dual Yang-Mills theory. Physical Review D, 108, Article 065007

The double-copy program relies crucially on the so-called color-kinematics duality which, in turn, is widely believed to descend from a kinematic algebra possessed by gauge theories. In this paper we construct the kinematic algebra of gauge-invariant... Read More about Gauge independent kinematic algebra of self-dual Yang-Mills theory.

Beyond the Erdős discrepancy problem in function fields (2023)
Journal Article
Klurman, O., Mangerel, A. P., & Teräväinen, J. (2024). Beyond the Erdős discrepancy problem in function fields. Mathematische Annalen, 389(3), 2959-3008. https://doi.org/10.1007/s00208-023-02700-z

We characterize the limiting behavior of partial sums of multiplicative functions f:Fq[t]→S1. In contrast to the number field setting, the characterization depends crucially on whether the notion of discrepancy is defined using long intervals, short... Read More about Beyond the Erdős discrepancy problem in function fields.

Cosmetic operations and Khovanov multicurves (2023)
Journal Article
Kotelskiy, A., Lidman, T., Moore, A. H., Watson, L., & Zibrowius, C. (2024). Cosmetic operations and Khovanov multicurves. Mathematische Annalen, 389(3), 2903-2930. https://doi.org/10.1007/s00208-023-02697-5

We prove an equivariant version of the Cosmetic Surgery Conjecture for strongly invertible knots. Our proof combines a recent result of Hanselman with the Khovanov multicurve invariants Kh~ and BN~. We apply the same techniques to reprove a result of... Read More about Cosmetic operations and Khovanov multicurves.

Collisions of weakly-bound kinks in the Christ-Lee model (2023)
Journal Article
Dorey, P., Gorina, A., Romańczukiewicz, T., & Shnir, Y. (2023). Collisions of weakly-bound kinks in the Christ-Lee model. Journal of High Energy Physics, 2023(9), Article 45. https://doi.org/10.1007/jhep09%282023%29045

We investigate soliton collisions in a one-parameter family of scalar field theories in 1+1 dimensions which was first discussed by Christ and Lee. The models have a sextic potential with three local minima, and for suitably small values of the param... Read More about Collisions of weakly-bound kinks in the Christ-Lee model.

A mnemonic for the Lipshitz–Ozsváth–Thurstoncorrespondence (2023)
Journal Article
Kotelskiy, A., Watson, L., & Zibrowius, C. (2023). A mnemonic for the Lipshitz–Ozsváth–Thurstoncorrespondence. Algebraic & geometric topology, 23(6), 2519-2543. https://doi.org/10.2140/agt.2023.23.2519

When k is a field, type D structures over the algebra k[u,v]∕(uv) are equivalent to immersed curves decorated with local systems in the twice-punctured disk. Consequently, knot Floer homology, as a type D structure over k[u,v]∕(uv), can be viewed as... Read More about A mnemonic for the Lipshitz–Ozsváth–Thurstoncorrespondence.

Inclusion of frequency nadir constraint in the unit commitment problem of small power systems using machine learning (2023)
Journal Article
Rajabdorri, M., Kazemtabrizi, B., Troffaes, M., Sigrist, L., & Lubato, E. (2023). Inclusion of frequency nadir constraint in the unit commitment problem of small power systems using machine learning. Sustainable Energy, Grids and Networks, 36, Article 101161. https://doi.org/10.1016/j.segan.2023.101161

As the intention is to reduce the amount of thermal generation and to increase the share of clean energy, power systems are increasingly becoming susceptible to frequency instability after outages due to reduced levels of inertia. To address this iss... Read More about Inclusion of frequency nadir constraint in the unit commitment problem of small power systems using machine learning.