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Poincare series for...
Poincare series for modular graph forms at depth two. Part II. Iterated integrals of cusp forms
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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)
- Albert Einstein Inst, Max Planck Inst Gravitationsphys, 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. Albert Einstein Inst, Max Planck Inst Gravitationsphys, 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 continue the analysis of modular invariant functions, subject to inhomogeneous Laplace eigenvalue equations, that were determined in terms of Poincare series in a companion paper. The source term of the Laplace equation is a product of (derivatives of) two non-holomorphic Eisenstein series whence the modular invariants are assigned depth two. These modular invariant functions can sometimes be expressed in terms of single-valued iterated integrals of holomorphic Eisenstein series as they appear in generating series of modular graph forms. We show that the set of iterated integrals of Eisenstein series has to be extended to include also iterated integrals of holomorphic cusp forms to find expressions for all modular invariant functions of depth two. The coefficients of these cusp forms are identified as ratios of their L-values inside and outside the critical strip.
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
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- art (ämneskategori)
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