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SUMMARY:Nathan Benjamin (CalTech)
DTSTART:20221129T203000Z
DTEND:20221129T213000Z
DTSTAMP:20260423T005651Z
UID:HET/46
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HET/46/">Sca
 lar Modular Bootstrap and Zeros of the Riemann Zeta Function</a>\nby Natha
 n Benjamin (CalTech) as part of Purdue HET\n\nLecture held in Room 242\, D
 epartment of Physics and Astronomy.\n\nAbstract\nWe derive a crossing equa
 tion that acts only on the scalar primary operators of any 2d CFT with U(1
 )^c symmetry. We derive bounds on the scalar gap of all such theories. Rat
 her remarkably\, our crossing equation contains information about all nont
 rivial zeros of the Riemann zeta function. As a result\, we rephrase the R
 iemann hypothesis as a statement about the asymptotic density of scalar op
 erators in certain theories. We discuss generalizations to theories with o
 nly Virasoro symmetry. Based on 2208.02259 with C.-H. Chang.\n
LOCATION:https://researchseminars.org/talk/HET/46/
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