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Preprint Sep 2026

Global regularity for 2D gravity water waves with two retreating point vortices

We prove global well-posedness for the two-dimensional infinite-depth gravity water wave system coupled to a pair of point vortices of opposite strengths. The vortex dipole is initially placed deep below the free surface and oriented so that its leading motion is away from the interface. We show that the vortices retre...

Lei Su, Qingtang Su, Si-Wei Wang · 0 citations
Preprint Sep 2026

Exact fermionic dual of the Bose-Hubbard model

Recent developments have established exact bosonization and fermionization with a $\mathbb{Z}_2$ symmetry as dualities through gauging. In this work, we apply fermionic gauging, which realizes generalized Jordan-Wigner transformations, to the Bose-Hubbard (BH) model with a global $U(1)$ symmetry and derive an exact dua...

Lei Su, Ivar Martin, A. Clerk · 1 citation

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