Scalar Modular Bootstrap and Zeros of the Riemann Zeta Function

  • Event Date: 2024-01-12
  • High energy theory
  • Speaker: Nathan Benjamin (Caltech)  /  Host: Profs. Yu-tin Huang & Pei-Ming Ho (NTU)
    Place: Rm. 815, Dept. of Physics, NTU

Title：Scalar Modular Bootstrap and Zeros of the Riemann Zeta Function
Speaker：Nathan Benjamin (Caltech)
Date：2024/01/12 (Fri.)
Time：14:30
 
Abstract：
We derive a crossing equation that acts only on the scalar primary operators of any 2d CFT. Rather remarkably, our crossing equation contains information about all nontrivial zeros of the Riemann zeta function. As a result, we rephrase the Riemann hypothesis as a statement about the asymptotic density of scalar operators in 2d CFTs. Using this "scalar crossing equation" and cleverly chosen linear functionals, we derive bounds on the scalar gap for these theories. Based on 2208.02259 and work to appear, with Cyuan-Han Chang.

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