| Issue |
EPL
Volume 143, Number 5, September 2023
|
|
|---|---|---|
| Article Number | 52002 | |
| Number of page(s) | 6 | |
| Section | Mathematical and interdisciplinary physics | |
| DOI | https://doi.org/10.1209/0295-5075/acf33e | |
| Published online | 05 September 2023 | |
A symmetry perspective of the Riemann zeros
1 Department of Physics, Indian Institute of Space Science and Technology Thiruvananthapuram, Kerala, 695547, India
2 Department of Physical Sciences, Indian Institute of Science Education and Research Kolkata Mohanpur 741246, West Bengal, India
(a) E-mail: pushpakalauni60@gmail.com (corresponding author)
(b) E-mail: pprasanta@iiserkol.ac.in
Received: 1 May 2023
Accepted: 23 August 2023
We study the relationship between the zeros of the Riemann zeta function and physical systems exhibiting supersymmetry, PT symmetry and SU(2) group symmetry. Our findings demonstrate that unbroken supersymmetry is associated with the presence of non-trivial zeros of the zeta function. However, for other cases, supersymmetry is spontaneously broken and the ground-state energy of the system is not zero. Moreover, we have established the manifestation of PT symmetry invariance within our supersymmetric system. In addition, our findings provide insights into a SU(2) symmetry that arises within these systems, with the Hilbert space having two-level structure.
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