Transcendentality violation in type IIB string amplitudes

TL;DR

This paper investigates how transcendentality properties are violated in multiloop four and five graviton amplitudes in type IIB string theory, revealing new contributions involving complex mathematical structures beyond tree level.

Contribution

It provides a detailed analysis of transcendentality violations in multiloop string amplitudes, highlighting contributions involving single-valued multiple zeta values beyond tree level.

Findings

Transcendentality is violated beyond one loop in multiloop amplitudes.

Contributions involve single-valued multiple zeta values beyond tree level.

Supersymmetry and S-duality constrain these transcendentality violations.

Abstract

We analyze transcendentality for certain terms that arise in multiloop amplitudes in the low momentum expansion of the four graviton amplitude in type IIB string theory in ten dimensions, based on the constraints of supersymmetry and S--duality. This leads to several contributions that violate transcendentality beyond one loop at all orders in the low momentum expansion. We also perform a similar analysis for the five graviton amplitude, obtaining contributions that involve single--valued multiple zeta values beyond tree level.