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Topological recursion and uncoupled BPS structure arising from spectral curves of hypergeometric type

Kohei Iwaki
Institution: 
University of Tokyo
Schedule: 
Wednesday, November 25, 2020 - 13:00
Location: 
Online
Location: 
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Abstract: 

I'll discuss a relationship between the following two objects arising from the spectral curves of hypergeometric differential equation and its confluent degenerations: The free energy compute by Eynard-Orantin's topological recursion, and BPS spectrum (degeneration of spectral networks) for the corresponding quadratic differentials computed by the algorithm of Gaiotto-Moore-Neitzke / Bridgeland-Smith. In particular, I'll show a simple formula expressing the topological recursion free energies as a sum over BPS states. My talk is based on a joint work with O. Kidwai.

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