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Journal Article

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

MPS-Authors

Richter,  Gregor
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Schlotterer,  Oliver
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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1704.03449.pdf
(Preprint), 920KB

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Citation

Broedel, J., Matthes, N., Richter, G., & Schlotterer, O. (2018). Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes. Journal of Physics A: Mathematical and Theoretical, 51(28): 285401. doi:10.1088/1751-8121/aac601.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002D-46CF-9
Abstract
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.