[math-ias] Reminder: HET Seminar Today at PU

[Lisa Fleischer]

*High Energy Theory Seminar, **Monday, November 26, 2012

"New Skins for an Old CeremonyThe Conformal Bootstrap and the Ising Model"*

Location: Jadwin Hall, Room A08

Time: 2:30 PM

Speaker(s): Sheer El-Showk, CEA Saclay

*Description:* The existence of a positive linear functional acting on 
the space of (differences between) conformal blocks has been shown to 
rule out regions in the parameter space of conformal field theories 
(CFTs). We argue that at the boundary of the allowed region the extremal 
functional contains, in principle, enough information to determine the 
dimensions and OPE coefficients of an infinite number of operators 
appearing in the correlator under analysis. Based on this idea we 
develop the Extremal Functional Method (EFM), a numerical procedure for 
deriving the spectrum and OPE coefficients of CFTs lying on the boundary 
(of solution space). We test the EFM by using it to rederive the low 
lying spectrum and OPE coefficients of the 2d Ising model based solely 
on the dimension of a single scalar quasi-primary no Virasoro algebra 
required. Our work serves as a benchmark for applications to more 
interesting, less known CFTs (such as the 3d Ising model) in the near 
future.

-- 
Lisa Fleischer
Academic Assistant
School of Natural Sciences
Institute for Advanced Study
Einstein Drive
Princeton, NJ 08540
609-734-8215
lisa at ias.edu

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