The three- and four-loop equal-mass sunset integrals and local Calabi--Yau fourfolds and fivefolds RWNP4FEE65
| URI | m2://res/RWNP4FEE65 |
|---|---|
| Kind | preprint |
| Creators | Hartmut Maennel, Pierre Vanhove |
| Date | 2026-10-07 |
| Subjects | arxiv hep-th, arxiv math-ph, arxiv math.AG, arxiv math.MP |
| Scope | border |
Expressions
e1: version, preprint
| Date | 2026-10-07 |
|---|---|
| Ids | arXiv 2610.10821 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| Curve classes | statement | lemma 4.5 | arxiv |
| Compactification geometry | statement | lemma 4.3 | arxiv |
| Normalized three-loop expansion ($n=4$ case | statement | theorem 3.13 | arxiv |
| Frobenius form of the integral | statement | lemma 3.11 | arxiv |
| State space | statement | lemma 3.3 | arxiv |
| Well-definedness of $K_2$ | statement | lemma 3.16 | arxiv |
| Leading asymptotics | statement | proposition 3.12 | arxiv |
| No maps at infinity | statement | lemma 4.4 | arxiv |
| Three loops in terms of $\mathcal F_{\gamma_3}$ | statement | corollary 2.3 | arxiv |
| Four loops in terms of two diagonal series | statement | corollary 2.4 | arxiv |
| All-degree inverse | statement | theorem 6.4 | arxiv |
| A coefficient identity | statement | lemma 3.19 | arxiv |
| Three loops; {\rm \Icorref{cor:nfour | statement | theorem 2.1 | arxiv |
| Expansion of $B$ | statement | lemma 3.20 | arxiv |
| Quantum-$K$ formula | statement | theorem 4.9 | arxiv |
| The scalar B-model operator | statement | lemma 3.21 | arxiv |
| Convergence | statement | proposition 3.7 | arxiv |
| The inhomogeneous Picard--Fuchs equation | statement | lemma 3.9 | arxiv |
| Complete descendant specialization | statement | theorem 3.24 | arxiv |
| Local correlators and the local $J$-function | definition | definition 3.5 | arxiv |
| Zero-section factorization | statement | proposition 3.1 | arxiv |
| Fourfold recursion | statement | theorem 6.1 | arxiv |
| H92K4GTCCC | statement | theorem 8.1 | arxiv |
| BPS integrality | statement | theorem 4.6 | arxiv |
| Two diagonal inputs suffice | statement | theorem 6.5 | arxiv |
| Triangular two-point reconstruction | statement | theorem 6.3 | arxiv |
| JN64TF5TZF | statement | lemma 4.7 | arxiv |
| Four loops; {\rm \Icorref{cor:nfive | statement | theorem 2.2 | arxiv |
| JYPAQKQYS4 | statement | theorem 3.25 | arxiv |
| Genus-zero Gopakumar--Vafa integrality, one insertion; quoted | statement | theorem 4.1 | arxiv |
| Classical verification at $m=1$ | statement | proposition 3.27 | arxiv |
| Branches | definition | definition 3.8 | arxiv |
| Mirror map | statement | proposition 3.6 | arxiv |
| Numerical Gamma identity | statement | proposition 3.28 | arxiv |
| Virtual reduction | statement | proposition 3.2 | arxiv |
| T225CZPFFF | statement | proposition 3.17 | arxiv |
| The coordinate $T$ | statement | lemma 3.15 | arxiv |
| One diagonal primary series suffices | statement | theorem 6.2 | arxiv |
| Coefficient bridge | statement | theorem 3.22 | arxiv |
| Certified individual singularities | statement | theorem 9.1 | arxiv |
| ZC0J3QC5PW | statement | corollary 8.2 | arxiv |
Catalogue records
- arxiv: 2610.10821 (work)