Intersection numbers from higher-order partial differential equations
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
Dokumenter
- JHEP06(2023)131
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We propose a new method for the evaluation of intersection numbers for twisted meromorphic n-forms, through Stokes’ theorem in n dimensions. It is based on the solution of an n-th order partial differential equation and on the evaluation of multivariate residues. We also present an algebraic expression for the contribution from each multivariate residue. We illustrate our approach with a number of simple examples from mathematics and physics.
| Originalsprog | Engelsk |
|---|---|
| Artikelnummer | 131 |
| Tidsskrift | Journal of High Energy Physics |
| Vol/bind | 2023 |
| Udgave nummer | 6 |
| Antal sider | 41 |
| ISSN | 1126-6708 |
| DOI | |
| Status | Udgivet - jun. 2023 |
Bibliografisk note
Funding Information:
V.C. is supported by the Diagrammalgebra Stars Wild-Card Grant UNIPD. H.F. is partially supported by a Carlsberg Foundation Reintegration Fellowship, and has received funding from the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement No. 847523 ‘INTERACTIONS’. The work of M.K.M. is supported by Fellini — Fellowship for Innovation at INFN funded by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 754496. F.G. is supported by Fondazione Cassa di Risparmio di Padova e Rovigo (CARIPARO).
Funding Information:
We wish to acknowledge interesting and stimulating discussions on intersection theory with Sergio Cacciatori, Yoshiaki Goto, Saiei Matsubara-Heo, Keiji Matsumoto, and Nobuki Takayama, at various stages. We would like to thank Sebastian Mizera for discussions and comments on the manuscript, and Henrik Munch for many good discussions and various checks. H.F. would like to thank Cristian Vergu for stimulating discussions. We also would like to acknowledge the anonymous referee for her/his suggestions about improving our manuscripts. V.C. is supported by the Diagrammalgebra Stars Wild-Card Grant UNIPD. H.F. is partially supported by a Carlsberg Foundation Reintegration Fellowship, and has received funding from the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement No. 847523 ‘INTERACTIONS’. The work of M.K.M. is supported by Fellini — Fellowship for Innovation at INFN funded by the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 754496. F.G. is supported by Fondazione Cassa di Risparmio di Padova e Rovigo (CARIPARO).
Publisher Copyright:
© 2023, The Author(s).
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