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Elliptic modular gr...
Elliptic modular graph forms. Part I. Identities and generating series
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- D'Hoker, Eric (författare)
- Univ Calif Los Angeles, Dept Phys & Astron, Mani L Bhaumik Inst Theoret Phys, Los Angeles, CA 90095 USA.
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- Kleinschmidt, Axel (författare)
- Albert Einstein Inst, Max Planck Inst Gravitat Phys, Muhlenberg 1, DE-14476 Potsdam, Germany.;Int Solvay Inst, ULB Campus Plaine CP231, BE-1050 Brussels, Belgium.
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- Schlotterer, Oliver (författare)
- Uppsala universitet,Teoretisk fysik,Uppsala Univ, Dept Phys & Astron, S-75108 Uppsala, Sweden.
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Univ Calif Los Angeles, Dept Phys & Astron, Mani L Bhaumik Inst Theoret Phys, Los Angeles, CA 90095 USA Albert Einstein Inst, Max Planck Inst Gravitat Phys, Muhlenberg 1, DE-14476 Potsdam, Germany.;Int Solvay Inst, ULB Campus Plaine CP231, BE-1050 Brussels, Belgium. (creator_code:org_t)
- Springer Nature, 2021
- 2021
- Engelska.
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Ingår i: Journal of High Energy Physics (JHEP). - : Springer Nature. - 1126-6708 .- 1029-8479. ; :3
- Relaterad länk:
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Abstract
Ämnesord
Stäng
- Elliptic modular graph functions and forms (eMGFs) are defined for arbitrary graphs as natural generalizations of modular graph functions and forms obtained by including the character of an Abelian group in their Kronecker-Eisenstein series. The simplest examples of eMGFs are given by the Green function for a massless scalar field on the torus and the Zagier single-valued elliptic polylogarithms. More complicated eMGFs are produced by the non-separating degeneration of a higher genus surface to a genus one surface with punctures. eMGFs may equivalently be represented by multiple integrals over the torus of combinations of coefficients of the Kronecker-Eisenstein series, and may be assembled into generating series. These relations are exploited to derive holomorphic subgraph reduction formulas, as well as algebraic and differential identities between eMGFs and their generating series.
Ämnesord
- NATURVETENSKAP -- Matematik -- Diskret matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Discrete Mathematics (hsv//eng)
Nyckelord
- Superstrings and Heterotic Strings
- Conformal Field Models in String Theory
- String Duality
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