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Title:
Spectral networks in 2 and 3 dimensions
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Abstract:
In joint work with Davide Gaiotto and Greg Moore last year we introduced the notion of "spectral network". A spectral network is a certain collection of paths on a Riemann surface. They arise naturally in the physics of N=2 supersymmetric field theories. I will describe two new results. First, I will explain how spectral networks have led to new surprises and new structures in the BPS spectrum of theories of class S, with particular emphasis on pure SU(3) Yang-Mills theory; this is joint work with Dmitry Galakhov, Pietro Longhi, Tom Mainiero, and Greg Moore. Second, I will explain how spectral networks apparently lead to a recipe for computing Chern-Simons invariants by "abelianization"; this is joint work (very much in progress) with Dan Freed.Related Papers:
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