Topological Aspects of Matters and Langlands Program
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2018
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914667148869632 |
|---|---|
| author | Ikeda, Kazuki |
| author_facet | Ikeda, Kazuki |
| contents | The Langlands program is a vast mathematical projection linking number theory and geometry. In high-energy physics, a connection with mirror symmetry has been suggested in string theory, but it has been little studied in low-energy physics. In the framework of the Langlands program, we present a unified description of the integer and fractional quantum Hall effect and the duality found in the fractal nature of the energy spectrum of two-dimensional block electrons, statistical physics, and quantum computation. The new unified view of existing dualism presented in this paper raises the entirely new question of how each theory of physics is connected as a piece of the Langlands program. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1812_11879 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Topological Aspects of Matters and Langlands Program Ikeda, Kazuki Mesoscale and Nanoscale Physics High Energy Physics - Theory Mathematical Physics Quantum Physics The Langlands program is a vast mathematical projection linking number theory and geometry. In high-energy physics, a connection with mirror symmetry has been suggested in string theory, but it has been little studied in low-energy physics. In the framework of the Langlands program, we present a unified description of the integer and fractional quantum Hall effect and the duality found in the fractal nature of the energy spectrum of two-dimensional block electrons, statistical physics, and quantum computation. The new unified view of existing dualism presented in this paper raises the entirely new question of how each theory of physics is connected as a piece of the Langlands program. |
| title | Topological Aspects of Matters and Langlands Program |
| topic | Mesoscale and Nanoscale Physics High Energy Physics - Theory Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/1812.11879 |