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Poincare series for...
Poincare series for modular graph forms at depth two. Part I. Seeds and Laplace systems
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- Dorigoni, Daniele (författare)
- Univ Durham, Ctr Particle Theory, Stockton Rd, Durham DH1 3LE, England.;Univ Durham, Dept Math Sci, Stockton Rd, Durham DH1 3LE, England.
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- Kleinschmidt, Axel (författare)
- Max Planck Inst Gravitat Phys, Albert Einstein Inst, 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
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Univ Durham, Ctr Particle Theory, Stockton Rd, Durham DH1 3LE, England;Univ Durham, Dept Math Sci, Stockton Rd, Durham DH1 3LE, England. Max Planck Inst Gravitat Phys, Albert Einstein Inst, Muhlenberg 1, DE-14476 Potsdam, Germany.;Int Solvay Inst, ULB Campus Plaine CP231, BE-1050 Brussels, Belgium. (creator_code:org_t)
- Springer Nature, 2022
- 2022
- Engelska.
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Ingår i: Journal of High Energy Physics (JHEP). - : Springer Nature. - 1126-6708 .- 1029-8479. ; :1
- Relaterad länk:
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Abstract
Ämnesord
Stäng
- We derive new Poincare-series representations for infinite families of non-holomorphic modular invariant functions that include modular graph forms as they appear in the low-energy expansion of closed-string scattering amplitudes at genus one. The Poincare series are constructed from iterated integrals over single holomorphic Eisenstein series and their complex conjugates, decorated by suitable combinations of zeta values. We evaluate the Poincare sums over these iterated Eisenstein integrals of depth one and deduce new representations for all modular graph forms built from iterated Eisenstein integrals at depth two. In a companion paper, some of the Poincare sums over depth-one integrals going beyond modular graph forms will be described in terms of iterated integrals over holomorphic cusp forms and their L-values.
Ämnesord
- NATURVETENSKAP -- Fysik -- Subatomär fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Subatomic Physics (hsv//eng)
Nyckelord
- Superstrings and Heterotic Strings
- Conformal Field Theory
- Differential and Algebraic Geometry
- String Duality
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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