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SUMMARY:Attractor flow trees and scattering diagrams - Boris Pioline (Sorb
 onne Université)
DTSTART:20231004T123000Z
DTEND:20231004T133000Z
UID:TALK200842@talks.cam.ac.uk
DESCRIPTION:In string models with N=2 supersymmetry in 4 dimensions\, the 
 Split Attractor Flow Tree Conjecture (SAFT) posits that the BPS index $\\O
 mega_z(\\gamma)$ for given charge $\\gamma$ and moduli z can be computed f
 rom the so-called attractor indices\, counting BPS states in their respect
 ive attractor chamber\, by summing over a finite set of binary trees known
  as attractor flow trees. The goal of this work is to demonstrate the SAFT
  for type IIA string theory reduced on local P^2\, one of the simplest non
 -compact Calabi-Yau threefolds\, for which attractor indices are completel
 y known. Mathematically\, this amounts to constructing the stability scatt
 ering diagram in the space of Bridgeland stability conditions. Based on [a
 rXiv:2210.10712] in collaboration with Pierrick Bousseau\, Pierre Descombe
 s and Bruno Le Floch.
LOCATION:Seminar Room 1\, Newton Institute
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