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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:The Rademacher expansion and the gravitational pat
h integral for N=4 dyons - Marti Rosselló (King's
College London)
DTSTART;TZID=Europe/London:20231003T133000
DTEND;TZID=Europe/London:20231003T143000
UID:TALK200836AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/200836
DESCRIPTION:The microstate degeneracies of quarter BPS dyons i
n N=4 string theory are encoded in a meromorphic S
iegel modular form. I will describe how one can ob
tain an expression for the single-centered black h
ole degeneracies as an infinite sum over the resid
ues of the Siegel modular form. The final expressi
on is a generalised Rademacher expansion which coi
ncides with and unifies the previous known results
. The starting point takes the form of a sum over
saddles\, thus providing predictions for the local
isation of the gravitational path integral for qua
rter BPS black holes. During the talk I will highl
ight the appearance of different number theoretic
structures such as mock modular forms\, shadows an
d continued fractions\, and how they can arise fro
m the supergravity localisation computation. This
is based on joint works with Gabriel Cardoso\, Abh
iram Kidambi\, Suresh Nampuri and Valentin Reys.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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