Statut  Confirmé 
Série  RENCTHEO 
Domaines  hepth 
Date  Jeudi 6 Mai 2021 
Heure  10:00 
Institut  IHP 
Salle  https://zoom.us/j/97507124810 (pwd= 1234) 
Nom de l'orateur  Hellerman 
Prenom de l'orateur  Simeon 
Addresse email de l'orateur  simeon [dot] hellerman [dot] 3 [at] gmail [dot] com 
Institution de l'orateur  Tokyo University, IPMU 
Titre  How Different Is More? : Precision correlators at large Rcharge 
Résumé  Building up macroscopic physics from microscopic constituents is an idea as old as theoretical physics itself, and has been a perennial theme in quantum theory beginning with Bohr's correspondence principle and onward through the modern renormalization group. Recently there has been a semiorganized effort at applying this principle to strongly coupled conformal field theory, developing asymptotic series in inverse powers of a large quantum number as a systematic approximation scheme whose leadingorder term is the familiar macroscopic limit. I will discuss this idea in the case of N=2 superconformal gauge theory in four dimensions, where it is possible to compute the largequantumnumber asymptotic series to all orders and even a hyperasymptotic series for the exponentially small corrections to it that are associated with the leading qualitative breakdown of the naive macroscopic picture. The results quite easily yield approximations accurate to 46 significant digits for quantum numbers of order 1, to 15 significant digits or better for quantum numbers of order 100. I will discuss the implications for one's general picture of the largescale structure of theory space. 
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