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Identities among hi...
Identities among higher genus modular graph tensors
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- D'Hoker, Eric (författare)
- Univ Calif Los Angeles, Mani L Bhaumik Inst Theoret Phys, Dept Phys & Astron, Los Angeles, CA 90095 USA.
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- Schlotterer, Oliver (författare)
- Uppsala universitet,Teoretisk fysik
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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
- Engelska.
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Ingår i: Communications in Number Theory and Physics. - : INT PRESS BOSTON, INC. - 1931-4523 .- 1931-4531. ; 16:1, s. 35-74
- Relaterad länk:
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https://urn.kb.se/re...
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visa fler...
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https://doi.org/10.4...
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik -- Diskret matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Discrete Mathematics (hsv//eng)
Nyckelord
- Higher-genus modular form
- string scattering amplitude
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