Deriving motivic coactions and single-valued maps at genus zero from zeta generators
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910157092421632 |
|---|---|
| author | Frost, Hadleigh Hidding, Martijn Kamlesh, Deepak Rodriguez, Carlos Schlotterer, Oliver Verbeek, Bram |
| author_facet | Frost, Hadleigh Hidding, Martijn Kamlesh, Deepak Rodriguez, Carlos Schlotterer, Oliver Verbeek, Bram |
| contents | Multiple polylogarithms are equipped with rich algebraic structures including the motivic coaction and the single-valued map which both found fruitful applications in high-energy physics. In recent work arXiv:2312.00697, the current authors presented a conjectural reformulation of the motivic coaction and the single-valued map via zeta generators, certain operations on non-commuting variables in suitable generating series of multiple polylogarithms. In this work, the conjectures of the reference will be proven for multiple polylogarithms that depend on any number of variables on the Riemann sphere. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_02096 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Deriving motivic coactions and single-valued maps at genus zero from zeta generators Frost, Hadleigh Hidding, Martijn Kamlesh, Deepak Rodriguez, Carlos Schlotterer, Oliver Verbeek, Bram High Energy Physics - Theory Algebraic Geometry Number Theory Multiple polylogarithms are equipped with rich algebraic structures including the motivic coaction and the single-valued map which both found fruitful applications in high-energy physics. In recent work arXiv:2312.00697, the current authors presented a conjectural reformulation of the motivic coaction and the single-valued map via zeta generators, certain operations on non-commuting variables in suitable generating series of multiple polylogarithms. In this work, the conjectures of the reference will be proven for multiple polylogarithms that depend on any number of variables on the Riemann sphere. |
| title | Deriving motivic coactions and single-valued maps at genus zero from zeta generators |
| topic | High Energy Physics - Theory Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2503.02096 |