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Exponential networks and 5d BPS spectra

Pietro Longhi (Uppsala University, Sweden)
Quand ? Le 06/05/2019,
de 16:00 à 17:00
Où ? IPNL - Salle 429
Participants Pietro Longhi
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Lundi 6 mai


 

Title: Exponential networks and 5d BPS spectra

Pietro Longhi (Uppsala University, Sweden)


 

Abstract:

We develop a systematic framework to study BPS states of 5d N=1 gauge theories. The key idea, inspired by 2d-4d wall-crossing, is to probe the BPS spectrum using co-dimension two defects.
3d-5d systems feature a new BPS sector of mixed ``3d-5d BPS states’’, whose (framed) wall-crossing  phenomena encode information about the 5d BPS spectrum.
We will explain how a non-abelianization map for exponential networks, motivated by physics, computes 3d-5d states and their wall-crossing.
We will discuss applications of this framework to 3d-5d systems arising from geometric engineering, and briefly comment on a relation to enumerative geometry.
This talk is based on joint work with S. Banerjee and M. Romo