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SUMMARY:Modularity and resurgence in N=4 supersymmetric Yang-Mills theory 
 - Daniele Dorigoni (Durham University)
DTSTART:20221216T113000Z
DTEND:20221216T123000Z
UID:TALK193307@talks.cam.ac.uk
DESCRIPTION:In this talk I review some new exact results and discuss vario
 us open questions in N=4 supersymmetric Yang-Mills theory. For the concret
 e physical observables I describe\, there is a beautiful interplay between
  their resurgence and modular properties. These quantities are found to sa
 tisfy intriguing "Laplace-difference equation" under the action of the hyp
 erbolic Laplace operator with respect to the complex YM coupling. Their pe
 rturbative expansions can be reconstructed from infinite series of non-hol
 omorphic Eisenstein series of either integer or half-integer index\, while
  the non-perturbative resurgent terms are expressed in terms of novel non-
 holomorphic modular functions.
LOCATION:Seminar Room 1\, Newton Institute
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