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SUMMARY:A resurgent transseries for N=4 supersymmetric Yang-Mills plasma -
  Ines Aniceto (Southampton)
DTSTART:20191107T130000Z
DTEND:20191107T140000Z
UID:TALK131110@talks.cam.ac.uk
CONTACT:Dr. Carl Turner
DESCRIPTION:The non-equilibrium hydrodynamic phenomena in strongly coupled
  quantum systems such as the N=4 supersymmetric Yang-Mills plasma\, can be
  addressed with the tools of the AdS/CFT correspondence\, where calculatio
 ns in the gravity side of the duality can be performed through a large pro
 per-time expansion. This expansion is asymptotic and encodes a spectrum of
  non-hydrodynamic modes reflecting the frequencies of AdS black-brane quas
 inormal modes. The emerging structure for the description of physical quan
 tities such as the energy density is that of a resurgent transseries. \n\n
 This connection between perturbative and non-perturbative contributions ca
 n be systematically studied using the theory of resurgence\, allowing us t
 o construct a full non-perturbative solution from perturbative asymptotic 
 data. In this talk\, I will analyse the essential role of resurgence theor
 y\, coupled to exponentially accurate numerical methods\, in the descripti
 on of the analytic solution behind the asymptotic late time behaviour of t
 he Yang-Mills plasma.
LOCATION:Potter Room (first floor\, Pav. B)
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