Status  Confirmed 
Seminar Series  RENCTHEO 
Subjects  hepth 
Date  Thursday 21 September 2023 
Time  10:00 
Institute  IHP 
Seminar Room  Grisvard (314) 
Speaker's Last Name  Mazac 
Speaker's First Name  Dalimil 
Speaker's Email Address  
Speaker's Institution  IPhT 
Title  Conformal measure spaces 
Abstract  The conformal bootstrap equations in any dimension are an infinite set of coupled nonlinear equations in infinitely many variables. According to the lore, the solutions of the full set of equations correspond to physical CFTs. At the same time, the only solutions truly known to exist above two dimensions are mean field theories. In this talk, I will discuss conformal measure spaces, which are objects guaranteed to produce solutions of the conformal bootstrap in any dimension. I will review why hyperbolic manifolds give rise to a particular class of conformal measure spaces, and thus to solutions of the complete set of the conformal bootstrap equations. I will then use the bootstrap equations to prove new bounds on the Laplace spectra of hyperbolic manifolds in two and three dimensions. Finally, I will discuss the similarities and differences between these solutions, and those that are believed to arise in physical CFTs. 
arXiv Preprint Number  
Comments  
Attachments 
To Generate a poster for this seminar : [ Postscript  PDF ]

[ English version ] 