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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Stokes constants in topological string theory - Cl
audia Rella (University of Geneva)
DTSTART;TZID=Europe/London:20221104T140000
DTEND;TZID=Europe/London:20221104T143000
UID:TALK185267AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/185267
DESCRIPTION:Building on recent progress in the study of the en
umerative invariants of theories based on quantum
curves within the analytic framework of resurgence
\, I will discuss how the machinery of resurgence
can be applied to the asymptotic series that arise
naturally as perturbative expansions in a strongl
y-coupled limit of topological string theory on a
toric Calabi-Yau threefold. These asymptotic serie
s show infinite towers of singularities in their B
orel plane. The corresponding infinitely-many Stok
es constants can be regarded as a new conjectural
class of topological invariants of the underlying
theory\, and they can be organized as coefficients
of generating functions given by q-series. I will
present an explicit analysis of a well-known exam
ple of toric Calabi-Yau geometry\, whose resurgent
structure turns out to be analytically solvable.
This leads to proven exact formulae for the Stokes
constants in the strong coupling regime. The anal
ytic approach that I propose is then straightforwa
rdly extended to the dual weakly-coupled limit of
topological strings on the same background\, which
has been studied numerically in a recent work by
Gu and Mariñ\;o.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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