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Identities among higher genus modular graph tensors
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- D'Hoker, Eric (author)
- Univ Calif Los Angeles, Mani L Bhaumik Inst Theoret Phys, Dept Phys & Astron, Los Angeles, CA 90095 USA.
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- Schlotterer, Oliver (author)
- Uppsala universitet,Teoretisk fysik
- Univ Calif Los Angeles, Mani L Bhaumik Inst Theoret Phys, Dept Phys & Astron, Los Angeles, CA 90095 USA Teoretisk fysik (creator_code:org_t)
- INT PRESS BOSTON, INC, 2022
- 2022
- English.
- In: Communications in Number Theory and Physics. - : INT PRESS BOSTON, INC. - 1931-4523 .- 1931-4531. ; 16:1, s. 35-74
- Journal article (peer-reviewed)
Abstract
Subject headings
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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
- NATURVETENSKAP -- Matematik -- Diskret matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Discrete Mathematics (hsv//eng)
Keyword
- Higher-genus modular form
- string scattering amplitude
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- ref (subject category)
- art (subject category)
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