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SUMMARY:Dalimil Mazac (IAS Princeton)
DTSTART:20230502T193000Z
DTEND:20230502T203000Z
DTSTAMP:20260423T022814Z
UID:HET/51
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HET/51/">Con
 formal measure spaces</a>\nby Dalimil Mazac (IAS Princeton) as part of Pur
 due HET\n\n\nAbstract\nThe conformal bootstrap equations in the general di
 mension are an infinite set of coupled non-linear equations in infinitely 
 many variables. According to the lore\, the solutions of the full set of e
 quations correspond to physical CFTs. At the same time\, the only solution
 s truly known to exist above two dimensions are the mean field theories. I
 n this talk\, I will define conformal measure spaces\, which are mathemati
 cal objects guaranteed to produce solutions of the conformal bootstrap in 
 any dimension. I will review why hyperbolic manifolds give rise to a parti
 cular class of conformal measure spaces\, and use the bootstrap equations 
 to prove new bounds on their spectra. Finally\, I will discuss the similar
 ities and differences between these solutions\, and those that are believe
 d to arise in physical CFTs.\n
LOCATION:https://researchseminars.org/talk/HET/51/
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