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Outputs (202)

Surface Flux Transport on the Sun (2023)
Journal Article
Yeates, A., Cheung, M., Jiang, J., Petrovay, K., & Wang, Y. (2023). Surface Flux Transport on the Sun. Space Science Reviews, https://doi.org/10.1007/s11214-023-00978-8

We review the surface flux transport model for the evolution of magnetic flux patterns on the Sun’s surface. Our underlying motivation is to understand the model’s prediction of the polar field (or axial dipole) strength at the end of the solar cycle... Read More about Surface Flux Transport on the Sun.

Consistent truncations from the geometry of sphere bundles (2023)
Journal Article
Bonetti, F., Minasian, R., Camell, V. V., & Weck, P. (2023). Consistent truncations from the geometry of sphere bundles. Journal of High Energy Physics, 2023(5), Article 156. https://doi.org/10.1007/jhep05%282023%29156

In this paper, we present a unified perspective on sphere consistent truncations based on the classical geometric properties of sphere bundles. The backbone of our approach is the global angular form for the sphere. A universal formula for the Kaluza... Read More about Consistent truncations from the geometry of sphere bundles.

On the asymptotic behavior of solutions to a class of grand canonical master equations (2023)
Journal Article
Vuillermot, P., & Bögli, S. (2023). On the asymptotic behavior of solutions to a class of grand canonical master equations. Portugaliae Mathematica, 80(3), 269-289. https://doi.org/10.4171/pm/2102

In this article, we investigate the long-time behavior of solutions to a class of infinitely many master equations defined from transition rates that are suitable for the description of a quantum system approaching thermodynamical equilibrium with a... Read More about On the asymptotic behavior of solutions to a class of grand canonical master equations.

Embedded surfaces with infinite cyclic knot group (2023)
Journal Article
Conway, A., & Powell, M. (2023). Embedded surfaces with infinite cyclic knot group. Geometry & Topology, 27(2), 739-821. https://doi.org/10.2140/gt.2023.27.739

We study locally flat, compact, oriented surfaces in 4-manifolds whose exteriors have infinite cyclic fundamental group. We give algebraic topological criteria for two such surfaces, with the same genus g, to be related by an ambient homeomorphism, a... Read More about Embedded surfaces with infinite cyclic knot group.

The Asymptotic Statistics of Random Covering Surfaces (2023)
Journal Article
Magee, M., & Puder, D. (2023). The Asymptotic Statistics of Random Covering Surfaces. Forum of mathematics. Pi, 11, Article e15. https://doi.org/10.1017/fmp.2023.13

Let Γg be the fundamental group of a closed connected orientable surface of genus g ≥ 2. We develop a new method for integrating over the representation space Xg,n = Hom(Γg, Sn) where Sn is the symmetric group of permutations of {1, . . . , n}. Equiv... Read More about The Asymptotic Statistics of Random Covering Surfaces.

Removable sets and Lp-uniqueness on manifolds and metric measure spaces (2023)
Journal Article
Hinz, M., Masamune, J., & Suzuki, K. (2023). Removable sets and Lp-uniqueness on manifolds and metric measure spaces. Nonlinear Analysis: Theory, Methods and Applications, 234, https://doi.org/10.1016/j.na.2023.113296

We study symmetric diffusion operators on metric measure spaces. Our main question is whether essential self-adjointness or -uniqueness are preserved under the removal of a small closed set from the space. We provide characterizations of the critical... Read More about Removable sets and Lp-uniqueness on manifolds and metric measure spaces.

Thermal fluctuations of black holes with non-linear electrodynamics and charged Renyi entropy (2023)
Journal Article
Arenas-Henriquez, G., Diaz, F., & Novoa, Y. (2023). Thermal fluctuations of black holes with non-linear electrodynamics and charged Renyi entropy. Journal of High Energy Physics, 2023(5), Article 72. https://doi.org/10.1007/jhep05%282023%29072

We extend the charged Renyi entropy to a more general holographic scenario. Coupling an arbitrary non-linear electrodynamics Lagrangian density to AdS gravity, we analyse the thermodynamic features of non-linearly charged hyperbolic black holes and t... Read More about Thermal fluctuations of black holes with non-linear electrodynamics and charged Renyi entropy.

Resurgence in 2-dimensional Yang–Mills and a genus-altering deformation (2023)
Journal Article
Fujimori, T., & Glass, P. (2023). Resurgence in 2-dimensional Yang–Mills and a genus-altering deformation. Progress of Theoretical and Experimental Physics, 2023(5), Article 053B03. https://doi.org/10.1093/ptep/ptad058

We study resurgence in the context of the partition function of 2-dimensional SU(N) and U(N) Yang–Mills theory on a surface of genus h. After discussing the properties of the transseries in the undeformed theory, we add a term to the action to deform... Read More about Resurgence in 2-dimensional Yang–Mills and a genus-altering deformation.

Lattice quantum Villain Hamiltonians: compact scalars, U(1) gauge theories, fracton models and quantum Ising model dualities (2023)
Journal Article
Fazza, L., & Sulejmanpasic, T. (2023). Lattice quantum Villain Hamiltonians: compact scalars, U(1) gauge theories, fracton models and quantum Ising model dualities. Journal of High Energy Physics, 2023(5), Article 17. https://doi.org/10.1007/jhep05%282023%29017

We construct Villain Hamiltonians for compact scalars and abelian gauge theories. The Villain integers are promoted to integral spectrum operators, whose canonical conjugates are naturally compact scalars. Further, depending on the theory, these conj... Read More about Lattice quantum Villain Hamiltonians: compact scalars, U(1) gauge theories, fracton models and quantum Ising model dualities.