# Feynman quadrics-motive of the massive sunset graph

## TL;DR

This paper investigates the mathematical structure of the Feynman quadrics-motive associated with the massive sunset graph, revealing its complex nature beyond mixed-Tate motives and linking it to Prym varieties.

## Contribution

It demonstrates that the Feynman quadrics-motive of the massive sunset graph is generally not mixed-Tate and provides an explicit description of its additional complexity via Prym varieties.

## Key findings

- Feynman quadrics-motive of the massive sunset graph is not mixed-Tate in general.
- The complexity of the motive is characterized by Prym varieties.
- Provides explicit geometric description of the motive's structure.

## Abstract

We prove that the Feynman quadrics-motive of the massive sunset graph is "generically" not mixed-Tate. Moreover, we explicitly describe its "extra" complexity in terms of a Prym variety.