Langlands duality and G2 spectral curves
Algebraic Geometry
2007-05-23 v1
Abstract
We first demonstrate how duality for the fibres of the so-called Hitchin fibration works for the Langlands dual groups Sp(2m) and SO(2m+1). We then show that duality for G2 is implemented by an involution on the base space which takes one fibre to its dual. A formula for the natural cubic form is given and shown to be invariant under the involution.
Keywords
Cite
@article{arxiv.math/0611524,
title = {Langlands duality and G2 spectral curves},
author = {Nigel Hitchin},
journal= {arXiv preprint arXiv:math/0611524},
year = {2007}
}
Comments
33 pages