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• W4386097574 abstract "A bstract A correspondence is established between the dynamics of the two-vortex system and the non-commutative Landau problem (NCLP) in its sub- (non-chiral), super- (chiral) and critical phases. As a result, a trivial permutation symmetry of the point vortices induces a weak-strong coupling duality in the NCLP. We show that quantum two-vortex systems with non-zero total vorticity can be generated by applying conformal bridge transformation to a two-dimensional quantum free particle or to a quantum vortex-antivortex system of zero total vorticity. The sub- and super-critical phases of the quantum NCLP are generated in a similar way from the 2D quantum free particle in a commutative or non-commutative plane. The composition of the inverse and direct transformations of the conformal bridge also makes it possible to link the non-chiral and chiral phases in each of these two systems." @default.
• W4386097574 created "2023-08-24" @default.
• W4386097574 creator A5011515187 @default.
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• W4386097574 date "2023-08-21" @default.
• W4386097574 modified "2023-09-26" @default.
• W4386097574 title "Weak-strong duality of the non-commutative Landau problem induced by a two-vortex permutation, and conformal bridge transformation" @default.
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• W4386097574 doi "https://doi.org/10.1007/jhep08(2023)141" @default.
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