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SUMMARY:Topological strings on elliptic fourfolds and quasi-Jacobi forms
DTSTART;VALUE=DATE-TIME:20201207T123000Z
DTEND;VALUE=DATE-TIME:20201207T143000Z
DTSTAMP;VALUE=DATE-TIME:20210121T054455Z
UID:indico-event-977946@indico.cern.ch
DESCRIPTION:Abstract\n\nIn this talk we consider F-theory compactification
s on elliptically-fibered Calabi-Yau fourfolds with background fluxes\, gi
ving rise to 4d N=1 supergravity theories. The (genus zero) topological st
ring free energy on elliptic fourfolds is encoded by the partition functio
ns of strings in the resulting 4d theory\, which arise from wrapped D3 bra
nes. The partition functions\, which decompose into various flux sectors\,
can be expressed in terms of a generalization of Jacobi forms known as
quasi-Jacobi forms. I will present a network of holomorphic anomaly equati
ons which maps between the partition functions in the various sectors\, an
d will discuss how it can be understood in terms of the properties of quas
i-Jacobi forms. This talk is based on work with Seung-Joo Lee\, Wolfgang L
erche\, and Timo Weigand.\n\n\nBased on\n\n2012.00766\n2005.10837\n\nRelat
ed physics papers:\n\n1808.05958\n1901.08065\n\nRelevant mathematical lite
rature:\n\n0904.1026\n1209.5628\n1709.01481\n\n \n\n\n \n\nVideo confere
nce link\n\nSince we do not need the video conference system of the lectur
e hall for the time being\, we switch back to Zoom.\n\nhttps://indico.cern
.ch/event/977946/
LOCATION:CERN 4/3-006 - TH Conference Room
URL:https://indico.cern.ch/event/977946/
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