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- FIELD
- Phys:StringTheory
- DATE
-
Jul 08 (Mon), 2024
- TIME
- 16:00 ~ 17:30
- PLACE
- 1423
- SPEAKER
- Gu, Jie
- HOST
- Choi, Sunjin
- INSTITUTE
- Shing-Tung Yau Center of Southeast University
- TITLE
- Trans-series for Hofstadter Butterfly
- ABSTRACT
- The Harper-Hofstadter model is an interesting 2d electron model in a square lattice with a uniform and perpendicular magnetic field, and its energy spectrum as a function of the magnetic field displays an intriguing pattern, known as the Hofstadter's butterfly, which implies very rich non-perturbative structures. Using a surprising connection with supersymmetric field theory and topological string, we write down a conjectural formula of the full energy trans-series which includes all orders instanton corrections when the magnetic flux is 2\pi/Q for natural numbers Q, and we verify our formula with high precision numerical calculations.
- FILE
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