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Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes

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arxiv 1704.03449 v2 pith:7KZLXSR4 submitted 2017-04-11 hep-th math.NT

classification hep-thmath.NT
keywords multiplevalueszetaelliptictwistedconsiderdegeneratenon-planar
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We consider a generalization of elliptic multiple zeta values, which we call twisted elliptic multiple zeta values. These arise as iterated integrals on an elliptic curve from which a rational lattice has been removed. At the cusp, twisted elliptic multiple zeta values are shown to degenerate to cyclotomic multiple zeta values in the same way as elliptic multiple zeta values degenerate to classical multiple zeta values. We investigate properties of twisted elliptic multiple zeta values and consider them in the context of the non-planar part of the four-point one-loop open-string amplitude.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A construction of single-valued elliptic polylogarithms

    hep-th 2025-11 unverdicted novelty 7.0 of 10

    A construction of single-valued elliptic polylogarithms on the punctured elliptic curve is given that reduces to Brown's genus-zero condition upon torus degeneration.

  2. Resurgent Lambert series with characters

    math.NT 2025-07 conditional novelty 7.0 of 10

    A complete transseries expansion is derived for doubly Dirichlet-twisted Lambert series near q=1, with applications to quantum modularity and topological string spectral traces.

  3. Single-valued polylogarithms for higher genera

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Single-valued polylogarithms are constructed on higher-genus once-punctured Riemann surfaces with trivial monodromy, related to prior work and used to identify the Arakelov Green's function.

  4. IterInt: Evaluating iterated integrals via differential equations

    hep-ph 2026-06 unverdicted novelty 5.0 of 10

    IterInt package evaluates iterated integrals by transforming them into solvable differential equation systems with built-in regularization.

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