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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.

Branes and symmetries for N = 3 S-folds (2023)
Journal Article
Etheredge, M., Etxebarria, I. G., Heidenreich, B., & Rauch, S. (2023). Branes and symmetries for N = 3 S-folds. Journal of High Energy Physics, 2023(9), Article 5. https://doi.org/10.1007/jhep09%282023%29005

We describe the higher-form and non-invertible symmetries of 4d N = 3 S-folds using the brane dynamics of their holographic duals. In cases with enhancement to N = 4 supersymmetry, our analysis reproduces the known field theory results of Aharony, Se... Read More about Branes and symmetries for N = 3 S-folds.

Near optimal spectral gaps for hyperbolic surfaces (2023)
Journal Article
Hide, W., & Magee, M. (2023). Near optimal spectral gaps for hyperbolic surfaces. Annals of Mathematics, 198(2), 791-824. https://doi.org/10.4007/annals.2023.198.2.6

We prove that if X is a finite area non-compact hyperbolic surface, then for any ϵ > 0, with probability tending to one as n → ∞, a uniformly random degree n Riemannian cover of X has no eigenvalues of the Laplacian in [0, 1 4 − ϵ) other than those o... Read More about Near optimal spectral gaps for hyperbolic surfaces.