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SUMMARY:Sylvain Ribault (IPhT)
DTSTART:20230206T100000Z
DTEND:20230206T110000Z
DTSTAMP:20260423T024450Z
UID:IPHT-PHM/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IPHT-PHM/23/
 ">From combinatorial maps to correlation functions in loop models</a>\nby 
 Sylvain Ribault (IPhT) as part of Séminaire de physique mathématique IPh
 T\n\nLecture held in Salle Claude Itzykson\, Bât. 774\, Orme des Merisier
 s.\n\nAbstract\nIn the two-dimensional O(n) and Potts models\, some observ
 ables can be computed as weighted sums over configurations of non-intersec
 ting loops.\n\nI will define weighted sums associated to a large class of 
 combinatorial maps\, also known as ribbon graphs\, fatgraphs or rotation s
 ystems. Given a map with $N$ vertices\, this yields a function of the modu
 li of the corresponding punctured Riemann surface\, which I will call an $
 N$-point correlation function.\n\nI will conjecture that in the critical l
 imit\, such correlation functions form a basis of solutions of certain con
 formal bootstrap equations. They include all correlation functions of the 
 O(n) and Potts models\, and correlation functions that do not belong to an
 y known model.\n
LOCATION:https://researchseminars.org/talk/IPHT-PHM/23/
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