Dimensional interpolation and the Selberg integral
Algebraic Geometry
2019-09-04 v2 High Energy Physics - Theory
Abstract
We show that a version of dimensional interpolation for the Riemann--Roch--Hirzebruch formalism in the case of a grassmannian leads to an expression for the Euler characteristic of line bundles in terms of a Selberg integral. We propose a way to interpolate higher Bessel equations, their wedge powers, and monodromies thereof to non--integer orders, and link the result with the dimensional interpolation of the RRH formalism in the spirit of the gamma conjectures.
Cite
@article{arxiv.1906.00071,
title = {Dimensional interpolation and the Selberg integral},
author = {V. Golyshev and D. van Straten and D. Zagier},
journal= {arXiv preprint arXiv:1906.00071},
year = {2019}
}