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SUMMARY:The Rademacher expansion and the gravitational path integral for N
 =4 dyons - Marti Rosselló (King's College London)
DTSTART:20231003T123000Z
DTEND:20231003T133000Z
UID:TALK200836@talks.cam.ac.uk
DESCRIPTION:The microstate degeneracies of quarter BPS dyons in N=4 string
  theory are encoded in a meromorphic Siegel modular form. I will describe 
 how one can obtain an expression for the single-centered black hole degene
 racies as an infinite sum over the residues of the Siegel modular form. Th
 e final expression is a generalised Rademacher expansion which coincides w
 ith and unifies the previous known results. The starting point takes the f
 orm of a sum over saddles\, thus providing predictions for the localisatio
 n of the gravitational path integral for quarter BPS black holes. During t
 he talk I will highlight the appearance of different number theoretic stru
 ctures such as mock modular forms\, shadows and continued fractions\, and 
 how they can arise from the supergravity localisation computation. This is
  based on joint works with Gabriel Cardoso\, Abhiram Kidambi\, Suresh Namp
 uri and Valentin Reys.
LOCATION:Seminar Room 1\, Newton Institute
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