Superstring Amplitudes, Unitarity, and Hankel Determinants of Multiple Zeta Values
High Energy Physics - Theory
2019-11-28 v2 Mathematical Physics
math.MP
Abstract
The interplay of unitarity and analyticity has long been known to impose strong constraints on scattering amplitudes in quantum field theory and string theory. This has been highlighted in recent times in a number of papers and lecture notes. Here we examine such conditions in the context of superstring tree-level scattering amplitudes, leading to positivity constraints on determinants of Hankel matrices involving polynomials of multiple zeta values. These generalise certain constraints on polynomials of single zeta values in the mathematics literature.
Keywords
Cite
@article{arxiv.1908.08426,
title = {Superstring Amplitudes, Unitarity, and Hankel Determinants of Multiple Zeta Values},
author = {Michael B. Green and Congkao Wen},
journal= {arXiv preprint arXiv:1908.08426},
year = {2019}
}
Comments
28 pages; v2: typos corrected, references added, matches published version