Langlands duality and G2 spectral curves

By N. Hitchin. 2006

60 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/95d256e6cd497b73b12e71eed44108218e0a5973

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In Geometry and Topology

1. E. Witten
2. A. Kapustin
3. Tamás Hausel
4. D. Gaiotto
5. Sergei Gukov
6. N. Seiberg
7. G. Moore
8. Tudor Dimofte

In Mathematical Physics

1. E. Witten
2. A. Kapustin
3. Tamás Hausel
4. Sergei Gukov
5. D. Gaiotto
6. N. Nekrasov
7. Tudor Dimofte
8. D. Nadler

Citations in the corpus

• Global topology of the Hitchin system (2011, background): “The case of G2 was considered by Hitchin in [54] in detail.”
• Electric-Magnetic Duality And The Geometric Langlands Program (2006, background): “MO duality implies that MH(G,C) and MH(LG,C) are a mirror pair, with the SYZ fibrations being the Hitchin fibrations.”