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19952025
most citedHom-Lie-Virasoro symmetries in Bloch electron systems and quantum plane in tight binding models

5 citations · 8 across the 7 of their papers we have counts for

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hep-th2025

Gauge Invariant and Generic Formulation of Magnetic Translations and so(3,1) Curtright-Zachos Generators

Haru-Tada Sato

We propose a gauge-invariant formulation of magnetic translation (GMT) operators, eliminating the gauge dependence that conventional definitions suffer from due to specific gauge c…

hep-th2024

Quantum Superspace and Bloch Electron Systems with Zeeman Effects: *-Bracket Formalism for Super Curtright-Zachos Algebras

Haru-Tada Sato

We introduce supersymmetric extensions of the Hom-Lie deformation of the Virasoro algebra (super Curtright-Zachos algebra), as realized in the GL(1,1) quantum superspace, for Bloch…

hep-th2024

Curtright-Zachos Supersymmetric Deformations of the Virasoro algebra in Quantum Superspace and Bloch Electron Systems

Haru-Tada Sato

We introduce supersymmetric extensions of the Hom-Lie deformation of the Virasoro algebra, as realized in the GL(1,1) quantum superspace, for Bloch electron systems under Zeeman ef…

hep-th2024★ 3 cited

Moyal product and Generalized Hom-Lie-Virasoro symmetries in Bloch electron systems

Haru-Tada Sato

We explore two variations of the Curtright-Zachos (CZ) deformation of the Virasoro algebra. Firstly, we introduce a scaled CZ algebra that inherits the scaling structure found in t…

hep-th1995

-Virasoro Operators from -Noether Currents

Haru-Tada Sato

We discuss the -Virasoro algebra based on the arguments of the Noether currents in a two-dimensional massless fermion theory as well as in a three-dimensional nonrelativistic on…