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- D'Hoker, EricUniv Calif Los Angeles, Mani L Bhaumik Inst Theoret Phys, Dept Phys & Astron, Los Angeles, CA 90095 USA. (author)
Identities among higher genus modular graph tensors
- Article/chapterEnglish2022
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- INT PRESS BOSTON, INC,2022
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- LIBRIS-ID:oai:DiVA.org:uu-467908
- https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-467908URI
- https://doi.org/10.4310/CNTP.2022.v16.n1.a2DOI
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- Language:English
- Summary in:English
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- Higher genus modular graph tensors map Feynman graphs to functions on the Torelli space of genus-h compact Riemann surfaces which transform as tensors under the modular group Sp(2h, Z), thereby generalizing a construction of Kawazumi. An infinite family of algebraic identities between one-loop and tree-level modular graph tensors are proven for arbitrary genus and arbitrary tensorial rank. We also derive a family of identities that apply to modular graph tensors of higher loop order.
Subject headings and genre
- NATURVETENSKAP Matematik Diskret matematik hsv//swe
- NATURAL SCIENCES Mathematics Discrete Mathematics hsv//eng
- Higher-genus modular form
- string scattering amplitude
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- Schlotterer, OliverUppsala universitet,Teoretisk fysik(Swepub:uu)olisc149 (author)
- Univ Calif Los Angeles, Mani L Bhaumik Inst Theoret Phys, Dept Phys & Astron, Los Angeles, CA 90095 USA.Teoretisk fysik (creator_code:org_t)
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- In:Communications in Number Theory and Physics: INT PRESS BOSTON, INC16:1, s. 35-741931-45231931-4531
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