nLab spectral network

Idea

(…)

Related concepts

• N=2 D=4 super Yang-Mills theory

References

The notion of spectral networks was introduced in:

• Davide Gaiotto, Gregory Moore, Andrew Neitzke, Spectral networks, Annales Henri Poincaré 14 (2013) 1643–1731, [arxiv/1204.4824, doi:10.1007/s00023-013-0239-7]

Review:

• Gregory Moore, Spectral networks and their applications, 2012 (talk slides pdf)

Further developments:

• Carlos Simpson, Pre-buildings as sheaves on the site of enclosures talk at Topos a l’IHES 2015 (recording)

Relation to Chern-Simons theory with complex gauge group:

• Daniel S. Freed, Andrew Neitzke, 3d spectral networks and classical Chern-Simons theory [arXiv:2208.07420]

See also:

• Clarence Kineider, Georgios Kydonakis, Eugen Rogozinnikov, Valdo Tatitscheff, Alexander Thomas: Spectral Networks: Bridging higher-rank Teichmüller theory and BPS states [arXiv:2412.03588]