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arXiv · 1409.2561

Spectral networks and higher web-like structures

Natalia Saulina
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Abstract

We derive traffic rule for spectral networks for A_2 theory for Riemann surface with punctures and use it to study in details the moduli space M of flat GL(3,C) connections on P^1 with 3 full punctures. We apply the simplified traffic rule to find the global description of M as the fibration with symplectic fibers and to study the space of line defects in 4d theory corresponding to the conformal point in the base of M. We define higher web-like structures, not previously discussed in the literature. They give rise to line defects independent of the defects corresponding to the traces of holonomies.

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Natalia Saulina. 2014-09-09. Spectral networks and higher web-like structures. https://arxiv.org/abs/1409.2561

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