6 papers
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…
Exploring the Limits of Large Language Models: A Systematic Evaluation of Masked Text Processing Ability through MskQA and MskCal
Fuka Matsuzaki, Haru-Tada Sato
This paper sheds light on the limitations of Large Language Models (LLMs) by rigorously evaluating their ability to process masked text. We introduce two novel tasks: MskQA, measur…
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…
Ensemble Bayesian Inference: Leveraging Small Language Models to Achieve LLM-level Accuracy in Profile Matching Tasks
Haru-Tada Sato, Fuka Matsuzaki, Jun-ichiro Takahashi
This study explores the potential of small language model(SLM) ensembles to achieve accuracy comparable to proprietary large language models (LLMs). We propose Ensemble Bayesian In…
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…
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…