Journal article
Gauge Theory and the Analytic Form of the Geometric Langlands Program
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 …
Authors
Gaiotto D; Witten E
Journal
Annales Henri Poincaré, Vol. 25, No. 1, pp. 557–671
Publisher
Springer Nature
Publication Date
January 2024
DOI
10.1007/s00023-022-01225-6
ISSN
1424-0637