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SUMMARY:Scalar Modular Bootstrap and Zeros of the Riemann Zeta Function - 
 Nathan Benjamin (CALTECH (California Institute of Technology))
DTSTART:20231006T080000Z
DTEND:20231006T090000Z
UID:TALK203053@talks.cam.ac.uk
DESCRIPTION:We derive a crossing equation that acts only on the&nbsp\;scal
 ar&nbsp\;primary operators of any 2d CFT. Rather remarkably\, our crossing
  equation contains information about all nontrivial zeros of the Riemann z
 eta function. As a result\, we rephrase the Riemann hypothesis as a statem
 ent about the asymptotic density of&nbsp\;scalar&nbsp\;operators in 2d CFT
 s. Using this "scalar crossing equation" and cleverly chosen linear functi
 onals\, we&nbsp\;derive bounds on the&nbsp\;scalar&nbsp\;gap for these the
 ories.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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