Status  Confirmed 
Seminar Series  SEMLPTHE 
Subjects  condmat.statmech 
Date  Friday 19 January 2018 
Time  11:00 
Institute  LPTHE 
Seminar Room  Bibliothèque 
Speaker's Last Name  MorinDuchesne 
Speaker's First Name  Alexi 
Speaker's Email Address  
Speaker's Institution  Université de LouvainlaNeuve 
Title  Twopoint boundary correlation functions of dense loop models 
Abstract  We investigate six types of twopoint boundary correlation functions in the dense loop model. These are defined as ratios Z/Z' of partition functions on the rectangle, with specific choices of the boundary conditions on one edge. For the model of critical dense polymers, we obtain determinant and pfaffian expressions for these correlators. We analyse their critical behavior in the scaling limit and their contribution to the corner free energy via the CardyPeschel formula. Remarkably, the results are in perfect agreement with the CFT predictions, wherein the twopoint functions are interpreted as the expectation values of boundary changing conformal fields. In particular, one field of vanishing conformal weight is found to be logarithmic, and inserting it in the corner yields a log(log n) contribution to the corner free energy. Joint work with Jesper Jacobsen. 
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