Abstract
We present a gauge-theoretic interpretation of the “analytic” version of the geometric Langlands program, in which Hitchin Hamiltonians and Hecke operators are viewed as concrete operators acting on a Hilbert space of quantum states. The gauge theory ingredients required to understand this construction—such as electric–magnetic duality between Wilson and ’t Hooft line operators in four-dimensional gauge theory—are the same ones that enter in understanding via gauge theory the more familiar formulation of geometric Langlands, but now these ingredients are organized and applied in a novel fashion.
Original language | English (US) |
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Pages (from-to) | 557-671 |
Number of pages | 115 |
Journal | Annales Henri Poincare |
Volume | 25 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2024 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Nuclear and High Energy Physics
- Mathematical Physics